Only A Mastermind Can Solve This

[@MindYourDecisions]

People often send me puzzles they see on social media. They love these videos because learning how to solve them helps builds their confidence in math. What can hurt their confidence, and turn people away from learning math, is seeing negative comments about things they enjoy, or being told something is easy. Everyone agrees negativity is hurting math education, so we need to be extra positive to cancel them out!

[@thomassteward9382]

MindYourDecisions I completely agree. This is actually the first puzzle on this channel that I was able to solve on my own without waiting for you to explain. I wouldn't say it was too simple. It was enough to challenge me and get me thinking for a minute or two, yet it wasn't so hard I couldn't solve it myself. This is the exact purpose of puzzles like these. To stimulate the brain and to get you thinking. It is very encouraging when you're able to solve one of these on your own.

[@billfranz4488]

Yes, this is to learn and have fun, not to brag or be negative. Cheers.

[@arikwolf3777]

I like these puzzles, they give me ideas to design my own. Not just the "math" part, the "use colored circles to represent numbers" part as well. A easy change is to change the "answer" to three white circles.

[@iamyoda7917]

4 out of 3 people on social media don't like math.

[@calholli]

Given the history of your questions, where the "plus" and "equals" signs do not have their original definitions; and given that there is no specific set of rules other than establishing a "pattern"... You could say that red is 3.. and the answer is only adding up the balls in the columns... while the number on the ball is irrelevant.... so gray and blue can be any digit other than 3; and other than each other.. This still provides the possible solutions to a vague question. in fact, they could all be 3's, because it is not stated that different colors represent different digits; it was only assumed. They could all be 3, meaning 3:00 o'clock; while the different colors are days of the week... and red being tuesday- the 3rd day of the week..... and the answer being red just represents 3 days of each month. in fact, its my pay schedule... Check please. This is the problem with having real symbols that do not adhere to their correct definitions in your past questions; it starts to not be math anymore.

[@mikehigbee2320]

KZbin has confirmed I am a mastermind. I'm putting that on my resume.

[@feelshowdy]

What I did was much simpler. I started with the final sum, a 3-digit number where every digit is the same. There are only ten possibilities, and we can quickly rule out 000, 111, 222, 333, 666, and 999. Among those remaining, only 555 ends with the same digit after being divided by 3.

[@kevincarson9201]

I just quickly used process of elimination on the red and found only 5 worked. From there it was the same process for blue and silver. Only one number added 3 times had a 5 as the last digit, which was 8. Then a 2 was carried over from the 3 eights so the final digit had to be a 1. It was much quicker than any formulaic method, at least for me it was

[@yoro.jojjowi]

Did that same thing too, way easier than highschool-ahh math

[@shoshonaquantrill4440]

Me too

[@rickeyrollins5252]

Me too

[@Raugturi]

Did the same to start, but once you solve red you can just divide 555 by 3 to get the other 2 digits.

[@benhur4154]

same here

[@WunUnknownPlayer]

Making this comment before watching the video to see if I used the same method you did. Red + Red + Red must have Red as ones. The only single digits where 3x has x as the ones is 0 and 5. Since RRR is the overall solution, we can eliminate 0. Therefore, Red is 5. The total Sum is 555, and 555 / 3 = 185. So Blue is 1 and Grey is 8.

[@thomassteward9382]

a=1 b=8 c=5 This is the only one I've ever gotten right on this channel. I just used basic logic to find out the value of "c" can only possibly be 5. From there, I divided 555 by 3 and got 185. As simple as this is, I feel so smart and accomplished after figuring it out.

[@toadstar1004]

Thomas Steward Nice job! Solving math problems, even simple ones, can be very satisfying.

[@thomassteward9382]

ToadStar100 thank you. It was very satisfying.

[@evelynlau1929]

Yes. One of the very few problems that I could solve on this channel. At first I was very happy to be able to solve it. But when I looked at the comments, I realised that I’m just a normal person after all. But, I Still feel proud about myself for being able to solve it! LOL

[@jasonpatterson8091]

E. Lau Don't sell yourself too short; the audience on this channel is not your average KZbinr, and anything shy of a nasty calculus problem is likely to be followed by dozens of comments complaining about how easy the question was.

[@Nobody-Nowhere-Nothing]

Jason Patterson Agree, everyone can learn something from these "easy" problems.

[@wolframstahl1263]

Only A Mastermind Can Divide 555 By 3.

[@manjeet1278]

Wolfram Stahl no everyone can If he/she knows divisibilty rule of 3

[@f5673-t1h]

Every digit d can be represented (a,b), where a = d mod 2, and b = d mod 5. Then, from the problem statement, we get 3x = x (mod 10), meaning 2x = 0 (mod 10), meaning x is a zero divisor. Since 2 = (0,2), then x must equal (y, 0), because (0,2)*(y,0) = (0*y, 2*0) = (0,0) = 0. There are two possibilities for y: y = 0, or y = 1. Using the Chinese remainder theorem, we get that either x = 0 or 5 (mod 10). Due to requiring each digit be different, then it must be that x = 5 (mod 10), and therefore, x = 555/3 = 185.

[@Tehom1]

manjeet, I think the OP's point was that once you realize that red is 5, the rest of the solution is perhaps too obvious.

[@gavinwoodard9178]

Tehom you could also just brute force it in a fraction of the time by doing 111/3, 222/3.... 999/3 piece of cake

[@soccerplayer2277]

literally solved this in 20 seconds, and ill admit i'm far from a mastermind

[@snowfloofcathug]

185? The red must be 5 or 0, it can't be 000 -> red's 5 The white must be one less than a multiple of 5 and it must be divisible by 3, so 24 -> white's 8. The blue must be two less than a multiple of 5 and it must be divisible by 3, so 3 -> blue's 1 Edit: Didn't even take a minute but apparently I made it a lot more convoluted than I had to

[@heumerg]

After the realization that you have 555 in the end, you could just divide by three, because 3abc=555 Edit: apparently, it is the method used by Presh to solve this "mastemind" puzzle

[@shubhramishra8698]

Or if you already know that red's 5, you know the final answer (red red red) will be 555 and you can divide that by 3

[@marcwinslow685]

Yeah, that’s kind of how I solved it too. 5 was the only one that made sense for red then there was a remainder of 1 so you needed 3 numbers that added together gave you something with a 4 in the ones column. 8 worked because it gave you 24. Then you had a remainder of 2 and since you know red is 5 you subtract the 2 and it left you with three meaning that the blue had to be 1.

[@Hjerpower]

Or you could just divide 555 by 3

[@SeanR794]

Yea once I got red was 5 I just divided 555 by 3

[@Sid-ix5qr]

*"There are so many masterminds in the world that now we need to search for the common people."*

[@xisumavoid]

Solved from the thumnail! Much fun :-)

[@frabol02]

Hey X are you here too?

[@InTheBeginningTheUniverseWas]

here we see a wild xisumavoid spotted doing recreational maths... a common past time for this species.

[@GlassHammerHK]

Omg the derp's here for maths!

[@patty4449]

literaly as easy as breathing...

[@rv1111]

Solved in 2 mins from thumbnail 185

[@toadstar1004]

This was a very interesting puzzle! I hope everyone felt satisfied when they solved it, especially the younger people who have not t taken any algebra classes. It’s surprising how little actual math is needed to solve this; just logic.

[@CodesOfLine]

"Only a Mastermind Can Solve This" Meanwhile 13yr old me solving it by looking at the thumbnail:

[@ebrahimalfardan8823]

It is 185 and this is easy. It is a good mind teaser for like 30 seconds. Presh, you need to get back to the really difficult stuff.

[@oliverhees4076]

yeah i solved it in literally 15 seconds

[@wschmrdr]

Site needs to be marketable for everyone, not just the know-it-all. Some easy, some difficult.

[@ebrahimalfardan8823]

FlagDUDE08 yes, but he should make two separate channels.

[@thomassteward9382]

FlagDUDE08 my thoughts exactly.

[@wschmrdr]

Making two separate channels dilutes the fan-base, thereby lower ratings, and lower "monetization" (assuming this hasn't been hit by Adpocalypse).

[@murdey]

Funny, I ignored the fact that I could divide the final number by three and continued to solve for the 10's place digit and 100's place digit. I guess tunnel vision happens sometimes.

[@danielderwertvolle6354]

me too... still easy though

[@borispelgrum7563]

Samee but didn't take me more than 2 minutes

[@rmsgrey]

Same here - which meant I'd found the solution before Presh finished saying to pause the video and continue once you'd solved it. Thinking about other possible solution paths to find the shorter one would have taken longer...

[@skyz7990]

Boris Pelgrum you took that long?

[@simon_patterson]

I did the same at first, before realising the much quicker solution!

[@billy.7113]

Oh, no. I am a Mastermind.

[@iamyoda7917]

*LOL.* Me too.

[@radicalpaddyo]

You are a wizard Bill Y.

[@mukundmunje8523]

y͙e͙s͙ m͙e͙ t͙o͙o͙😆🤣🤣🤣

[@user-sl1lx9sw1x]

Meagamind

[@PuzzleAdda]

lol, to check if you are a genius. You need to visit #PuzzleAdda

[@carlosmingorance2110]

How I solved it with a glance a the video miniature: -The red digit is one that, multiplied by 3, gives a number which ends with the same digit, so it's 0 or 5. -The result of the sum is either 000 or 555, and the correct answer divided by 3 is a 3-digit number (with three different digits, making 012 the absolute minimum), so it is 555. -555 divided by 3 is 185. No need for algebra at all

[@scoobyroo5000]

I was looking at the thumbnail and solved it pretty fast. The way I did it is that since the answer was all red I asked my self what three numbers add up to the last digit being the same number being added and got 5. Since the answer is 555 and 5x3=15, I subtracted 15 from 555 and was left with 540. I then divided 540 by 3 and got 180. Since I subtracted 15 from the total I added 5 to 180 and got 185.

[@barfeyman3622]

Scooby Roo yeah me 2

[@wwoods66]

So you did it the hard way? :-) (Instead of just dividing 555 by three.)

[@Luigieeeeee]

Scooby Roo Sup

[@AhsimNreiziev]

Assuming none of the values are negative, the end result can't be 0. To narrow down, or quite possibly even fully determine the value of the *red* dots, we can then go through each of the 9 remaining digits, and see what the last digit is if we multiply by 3: 1 ==> 3 2 ==> 6 3 ==> 9 4 ==> 2 5 ==> 5 6 ==> 8 7 ==> 1 8 ==> 4 9 ==> 7 As we can clearly see, only *5* maps to itself. Thus, the value of the *red* dots is *5* , and the sum totals to *555* . *555 / 3 = 185* , so the *blue* dots equal *1* , and the *grey* dots represent the *8* digit.

[@Tehom1]

Just to add a little challenge: Presh never said what base this puzzle was in. I never like to assume decimal. Let's look at a few other bases. Base 2: Not enough digits for the colors. Base 3: Multiplying by 3 gives all zeroes, already ruled out. Base 4: Red*3 = red (mod 4), so red = 2. This gives us 222 (base 4) / 3, which is 42 / 3 (decimal), which gives 032 (base 4) Base 5: red*3 = red (mod 5) -> the empty set. No solution is possible. More generally, for a value to satisfy red*3=red (mod N), red*2 must divide N. This is only possible for even N, and red always = N/2. Base 6: red * 3 = red (mod 6) -> red = 3, which gives 129 / 3, which is 43. But this doesn't satisfy: Presh tells us that each color corresponds to a unique digit, but 43 = 111 (base 6). Base 8: red = 4, so it's 444 (base 8) or 292 (decimal). This is not divisible by 3. So for bases up to 10, there are only two solutions, 032 (base 4) and 185 (decimal).

[@musik350]

Tehom yeah, good idea. this at least makes the puzzle a bit harder

[@dlevi67]

Best comment of this lot!

[@DRicke]

Haha, I started with base 16 and got 2d8 -> 888

[@N8570E]

To me, if the base is not stated, then it is base 10, by definition!

[@liquidcashews]

Blue is 1, gray is 8 and red is 5. 185x3 = 555

[@siyaaa__]

I am a mastermind because when I got this kind of problem I checked it out Google 🤣🤣🤣😂😂

[@pruthvigaming3068]

Me also😂🤣

[@PravinKumar-ns3gh]

I too do the same😄

[@yakobchinna1996]

Me also😂😂😂

[@GAMER_BOY890]

Me too

[@sandeeppathak2991]

Me too😅

[@IEEMAZ_Convoluted_14.2.8.5]

You don’t have to be a mastermind to solve this

[@aloc311]

This channel always has me feeling like a mastermind. Keep posting the easy questions!!!

[@LocksVid]

Everyone in the comments are always bragging and complaining about getting the answer in 10 seconds or it being too easy, but can no one appreciate the effort Presh is putting into actually making the videos, rather than complaining it’s too easy?

[@sam2026]

Lux Legend good point but then again he said mastermind.

[@Tehom1]

I do appreciate the effort, and I never suggest that Presh making a video on an easy problem is bad or unworthy. And I never rag on people who barely solve it. But there's a whole nother class of problems that Presh posts sometimes that I find much more interesting, and not just for the challenge.

[@HarryMcKenzieTV]

they claim they can all easily solve it but they can't actually formulate the proper mathematical equations to solve it.

[@franciscoferreira1383]

The easiest problem in this channel. 185

[@franciscoferreira1383]

3x5=15 8x3+1=25 1x3+2=5

[@owentate502]

There have been easier problems.

[@belaanchalia71]

How ??

[@PuzzleAdda]

If you love solving puzzles, visit. #PuzzleAdda

[@Jacksperrrow]

People here are complaining how easy it is! But the funny thing is i couldn't even solve it even after watching this video. I found most of the sums of this channel easy except this one. I mean how do you know that C can only be 5.? Rest i understood. Plz help

[@gsquicksilver1]

So true

[@ssarmazi]

Not only did I solve in less than a minute, but I used the same process as Presh! Today is a good day!

[@IEEMAZ_Convoluted_14.2.8.5]

Same!

[@THQPetr]

I enjoyed many videos and thus subscribed to the channel. Two recent videos just irritated me. I get it, the channel is meant to popularize Maths to all audiences. Just please avoid having these misleading titles such as "only mastermind/genius can solve this" or "95 % failed" on viral social media problems...

[@dlevi67]

I think the reference to "mastermind" is to the game en.wikipedia.org/wiki/Mastermind_(board_game) - not particularly misleading and in fact I found it a nice joke.

[@pinkibalal6387]

petran HQ 35790 Zn Zn

[@MKD1101]

I am doing MSc and this is totally opposite to the mathematics I have! *Please post something for us as well because I know you are highly qualified for that.*

[@HarryMcKenzieTV]

3*(100*B + 10*W + R) = R*100 + R*10 + R 300B + 30W + 3R = 111R EQ1 => 300B + 30W - 108R = 0 3R = R + 10*C1 C1 = 0.2R 3W + C1 = R + 10*C2 3W + (0.2R) = R + 10*C2 C2 = (3W - 0.8R)*0.1 C2 = 0.3W - 0.08R 3B + C2 = R 3B + (0.3W - 0.08R) - R = 0 EQ2 => 3B + 0.3W - 1.08R = 0 EQ3 => (3R)%10 = R R = 5 3B + 0.3W - 1.08*5 = 0 3B + 0.3W - 5.4 = 0 W = (5.4 - 3B)/0.3 300B + 30W - 108R = 0 300B + 30*((5.4 - 3B)/0.3) - 108(5) = 0 300B + 30*((18 - 10)) - 540 = 0 300B + 540 - 300 - 540 = 0 B = 1 W = (5.4 - 3B)/0.3 W = (5.4 - 3(1))/0.3 W = 8 Blue = 1 White = 8 Red = 5

[@HarryMcKenzieTV]

The proper way to solve it is not through trial and error. it's through actual algebraic equations. you have 3 unknowns, which means you need 3 equations to solve it. Here is the proper solution: 3*(100*B + 10*W + R) = R*100 + R*10 + R 300B + 30W + 3R = 111R EQ1 => 300B + 30W - 108R = 0 3R = R + 10*C1 C1 = 0.2R 3W + C1 = R + 10*C2 3W + (0.2R) = R + 10*C2 C2 = (3W - 0.8R)*0.1 C2 = 0.3W - 0.08R 3B + C2 = R 3B + (0.3W - 0.08R) - R = 0 EQ2 => 3B + 0.3W - 1.08R = 0 EQ3 => (3R)%10 = R R = 5 3B + 0.3W - 1.08*5 = 0 3B + 0.3W - 5.4 = 0 W = (5.4 - 3B)/0.3 300B + 30W - 108R = 0 300B + 30*((5.4 - 3B)/0.3) - 108(5) = 0 300B + 30*((18 - 10)) - 540 = 0 300B + 540 - 300 - 540 = 0 B = 1 W = (5.4 - 3B)/0.3 W = (5.4 - 3(1))/0.3 W = 8 Blue = 1 White = 8 Red = 5

[@arcticnerd5994]

This one must have been easy, I normally can't figure these out while sitting at my computer. This one I did. Thanks for throwing us mortals a bone.

[@debbiegarcia2800]

You can just test c=1 c=2etc until you get the correct answer

[@melkerart1793]

Thanks for briefly letting me feel like I'm slightly intelligent.

[@matthewwriter9539]

There is a famous puzzle that I just realized has a problem with. There is a band with 7 people in it, yet they keep losing their insterments. Their manager is sick and tired of it. He tells them that there instruments are each in the next room, inside 7 labeled boxes, the catch is that no instrument is in a box labeled with it's own name. Each person only has 3 chances to find their own insterment. If less than half of them find their instruments in 3 tries then he will kill them all. The solution we are given is that each person looks in the box with their instrument, the drummer looks in the box with the drums and finds the base, so he looks in the box with the base and finds the drums. Then the keyboard player opens the keyboard box to find a microphone, then opens the microphone box and finds a trombone, then opens the trombone box to find the tambourine. The problem comes when the base player comes in and opens the base box to find it empty. He knows that it either had the drums or the keyboard. If he opens the drums box then he finds the base and wins, yet if he opens the keyboard box then he finds the microphone and can't find his base. Next the singer comes looking for her microphone, opens that box and trombone, opens the trombone box and finds the trombone. The next time someone comes to an empty box, was this the box that had the drums, the keyboard or the base?

[@lerolerolerolerolero256]

Wow I'm a mastermind!! Good to know.Point to self: Never look at the comments after you've actually solved a question on this channel. Most of it is filled with people exclaiming how easy the problem was which pretty much ruins the feeling of being super smart you get after solving the question.

[@localworker6345]

I figured the answer could be one or more from this set: [111, 222, 333, 444, 555, 666, 777, 888, 999] Then I divided each by 3 (as Presh indicates), and got: [ 37, 74, 111, 148, 185, 222, 259, 296, 333] Then the only logical answers for this problem become: 148+148+148 = 444 or 185+185+185 = 555 or 259+259+259 = 777 or 296+296+296 = 888 So 4 possible answers, sound reasonable?

[@localworker6345]

Sorry my mistake, only 1 - the others do not fit the posed problem!

[@usama57926]

I think about this puzzle for 5 minutes. But i could not found any answer. Then i realize that i can make computer program to find this answer. So then i make a C++ program. And its answer me that the number is 185. Thank u sir for such an amazing puzzle.

[@danielsmerdel8214]

Using that to find the solution is probably more impressive than the method used in the video, so congrats!

[@octavian1551]

U just need to find the red And its very easy cuz Red+red+red=.. Red So the red must be 5 5+5+5=1"5" (15) 555 : 3 = 185

[@usama57926]

thank u

[@Tfin]

RED: 0 or 5, not 0, 5. 15 Carry the 1. WHITE: must end with 4, so 8. 24+1 carry the 2. BLUE: must end with 3 and total less than 8, so 1. 3+2. 1, 8, 5.

[@stefanf922]

I did it a bit more difficult, after getting the 5, I went through the same process to get the second digit, c x 3 must end in 4 so 8 x3 +1 =25

[@robinlindgren6429]

quick note: I will not assume that all digits must be different, I will instead find all solutions. it will probably be useful to know what the single-digit numbers become when tripled_ 0: 0 1: 3 2: 6 3: 9 4: 12 5: 15 6: 18 7: 21 8: 24 9: 27 R is a number which, when tripled, has R as its last digit, this means R can only be 0 or 5. from this point on there are at least 2 different methods of solving it, the first is observing that this problem can be written as BGR*3=RRR this can be rewritten as RRR/3=BGR since we know R is 0 or 5, we can just plug in that into the equation and solve the division, any 3-digit whole number is a solution. 000/3=BG0 -> 000/3=000, B=0, G=0, R=0. 555/3=BG5 -> 555/3=185, B=1, G=8, R=5. the other, more puzzle-solving-logic oriented method is as follows: if R is 0, then G is a number which, when tripled (and not getting a carryover) has last digit 0, this means G would have to be 0 and the same logic can be used for B, giving us the trivial solution of B=0, G=0, R=0. thus to find any other solution, R must be 5. so now we know that G is a number which, after getting a carryover of 1, has last digit 5, this means without the carryover, it would need a last digit of 4. only 8 satisfies this condition and we have G=8 finally we observe that B must be a number which when tripled and given a carryover of 2 becomes 5 with no further carryover, this condition is only satisfied by 1. thus we have our only other possible solution: B=1, G=8, R=5, 185*3=555

[@HPOfficeJetProAll-In-One]

Honestly I think you made this too complicated. All you had to so was substitute 111,222, etc into the bottom and divide by 3 to find which one gave a 3 digit number with 3 different digits. Thats how I did it and it took like 30 seconds.

[@leeguy1228]

Love this channel man. Thanks for posting great videos

[@lightdark00]

Honestly? This is considered mastermind abilities? It's child's play. 185+185+185=555

[@lightdark00]

It's odd that the way you explained it you would need to divide 555/3, which most people can not do in their heads.

[@nightmare9566]

Most people can't divide 555 by 3 in their heads? you just count up, 100 makes 300, and for 255 you just do 80 for 240 and 15 makes 5....185

[@rmsgrey]

You mean you don't already know that 111 = 3*37? -> 555/3 = 5*37 = 10* (37/2) = 10*18.5 = 185... Actually, I found 185 by finding c=5, -> b=4/3(mod 10) = 8 -> a=3/3=1 because that was faster than taking the time to think about what would be a shorter method of solution after finding c...

[@tanveerhasan2382]

lightdark00 master if puppets

[@Tehom1]

lightdark00 I think the reference is to the game Mastermind, which is visually similar.

[@JianJiaHe]

I solved the problem at 0:40, 185, try harder next time.

[@Dyslexic-Artist-Theory-on-Time]

Could maths be universal because it is based on a universal geometrical process: (E=ˠM˳C²)∞ with energy ∆E equals mass ∆M linked to the Lorentz contraction ˠ of space and time. The Lorentz contraction ˠ represents the time dilation of Einstein’s Theory of Relativity. We have energy ∆E slowing the rate that time ∆t flows as a universal process of energy exchange or continuous creation. Mass will increase relative to this process with gravity being a secondary force to the electromagnetic force. The c² represents the speed of light c radiating out in a sphere 4π of EMR from its radius forming a square c² of probability. We have to square the probability of the wave-function Ψ because the area of the sphere is equal to the square of the radius of the sphere multiplied by 4π. This simple geometrical process forms the probability and uncertainty of everyday life and at the smallest scale of the process is represented mathematically by Heisenberg’s Uncertainty Principle ∆×∆pᵪ≥h/4π. In such a theory we have an emergent future unfolding photon by photon ∆E = hf with the movement of charge and flow of EM fields. This gives us a geometrical reason for positive and negative charge with a concaved inner surface for negative charge and a convexed outer surface for positive charge. The brackets in the equation (E=ˠM˳C²)∞ represent a dynamic boundary condition of an individual reference frame with an Arrow of Time or time line for each frame of reference. The infinity ∞ symbol represents an infinite number of dynamic interactive reference frames that are continuously coming in and out of existence. At the smallest scale the Planck constant ħ=h/2π is a constant of action in the dynamic geometrical process that we see and feel as the passage of time.

[@flowerwithamachinegun2692]

An artist theory on the physics of 'Time' as a physical process. Quantum Atom Theory Yes

[@aienbalosaienbalos4186]

no

[@flowerwithamachinegun2692]

Damn

[@christopherellis2663]

LOL

[@vishwashington]

How much spare time do you have

[@highelectricaltemperature]

The book "Sideways Arithmetic from Wayside School" has a good number of problems like this, where words are added together, and you have to deduce which digit each letter represents. For example, egg + egg = page, or seed + iced = spice.

[@Wolfynex]

i solved it even before clicking on video Answer 1 8 5

[@shobag.k9014]

Same here

[@brainyriddle1246]

Alexa has an incontrovertible proof in court that her boyfriend was murdered by her sister. The judge declares, “This is the strangest case I’ve ever seen. Though it’s a cut-and-dried case, this woman cannot be punished.” How can this possibly be?

[@manasser99]

Brainy Riddle what

[@brainyriddle1246]

manasser99 any ideas?)

[@Beesman88]

Are Alexa and her sister conjoined twins? It would be wrong to jail them both.

[@Ae-oxian]

0,0,0 easy

[@Tehom1]

Presh did say that the colors stood for distinct numerals.

[@piolio7086]

Tehom what if he/she is color blinded...😏

[@davidmanser4193]

Can't be 0 0 0 because you would then have all colours = zero so no sum.

[@aksarts1208]

Cheers man. . . Was looking for dis solution since long

[@scientium8770]

The answer is simple. 185 +185 +185 =555. Thanks for the minds boggling question. Upload tricky videos about questions related to log.

[@krzysztofmazurkiewicz5270]

Second way can be just to try each 3 same digit number and divide it by 3. Bruteforce but in this case works as well ;) Also since we know we have same digit under the line we can assume it needs to be a digit that multiplied 3x will give same number in last place and probably some rest to carry to the next row. So in this case 5 seems to be natural.

[@Riiisuu]

Really lmao I don’t usually solve your stuff but this was easy, the red must be 5 because it’s the only number when multiplied by 3 (besides 0) to give it’s self, hence the answer is 555, and 555/3 is 185

[@oposdeo]

Most of the problems on this channel are pretty tough, but this was really really easy. 185. you just figure out the last digit by doing 3 times every number between 1 and 9 and checking equivalence mod 10, it's 3*5=15. Then divide 555 by 3. By making it so easy to get the sum, and having the summed numbers be the same, the problem becomes trivial.

[@zerov1198]

i thought it was 777 then abc is 259

[@RGP_Maths]

Zero K So 9=c=7?

[@shaoqianng9333]

Zero K the ones digit has to be itself and once it is multiplied by 3. In this case, only 0 and 5 work. And obviously we cant accept 0 because this makes others dots have to be 0

[@HarrisonSW]

185? I didn’t watch the answers yet. Edit: yess! This is actually a very easy question. I’ll explain it in my 13 year old mind: So I know the answer has the same numbers for each digit. So, 000,111,222,333...999 could be all possible answers. Next, I took out all the numbers that when divided by 3, the make the same digits. For example: 333 divided by 3 is 111. This breaks the rule, because blue circle, grey circle and red circle must have different digits. So, now we’re left with 111,222,444,555,777,888. Now, I took turns dividing each by 3 until I got to 555. 555 divided by 3 makes 185. Since the last digit must be the same numbers as the answer, it must be 185. No other triple digits ended with the same number. :)

[@claudiumarciuc2074]

Bro xxxtentacion dead 😭😭😭😭😭

[@breakpointblank]

Claudiu Marciuc i couldnt watch this without thinking about x 😭😭😭 rip 😔❤️

[@Bhamilton-ws4go]

lmfao

[@Tom123Sweden]

Xxxpired

[@samueln2917]

Xxxtinct

[@MaxPower2719]

Who?

[@EdwardCurrent]

I don't know why this would be considered difficult. Most of Presh's problems take me a long time, but this took me less than a minute.

[@MrRyanroberson1]

So, in part due to your past videos showing me a notation for writing the abstract: I see 300a+30b+3c-111c=0; the ones digit is ONLY influenced by c, and the only puzzle is c itself, and since 111-3=108, the only choices for c are 0 and 5, and with the three digits being unique the conclusion is c=5 and [abc]=555/3=185

[@shubhramishra8698]

abc + abc + abc = ccc so the units digits of c*3 = c just quickly go through in your head which numbers work 0 * 3 = 0 yes 1 * 3 = 3 no 2 * 3 = 6 no 3 * 3 = 9 no 4 * 3 = 12 no 5 * 3 = 15 yes 6 * 3 = 18 no 7 * 3 = 21 no 8 * 3 = 24 no 9 * 3 = 27 no so c is either 0 or 5, but since 000 is not a valid answer (by common sense), ccc = 555 555/3 = 185 a = 1 b = 8 c = 5

[@AA-100]

Straight away when I saw the question, I noticed that 3x a digit has a number ending in the same digit. 5 is the only number that fits since 0 won't work so you can now find out that the answer at the bottom is 555. Dividing that by 3 is all you need to do to get the other 2 colors.

[@mohamedasiqshajahan1200]

Mastermind is not required for this puzzle. I have taken just 15secs only to solve this puzzle.

[@spacelightning6587]

I did it in a very, very, VERY inefficient way. My first step, for C, was actually ok: 3C must end in C, and the only nonzero digit that meets that is 5, coming to 15. After that is when I did things terribly inefficiently. I wrote the 555, but instead of dividing by 3, I said "Well, 3A must be either 5 or less than 5 if there is any carry over. Only A = 1 does that." Once that was set up, I solved for B using decimal expansion: 300 + 30B + 15 = 555 means B = 8. I have no idea why I did it that roundabout way... but it worked, I guess.

[@KenCubed]

For a short solution, we have 3c = c mod 10. Therefore c can't have an inverse mod 10, so c must be a zero divisor and must be either 2 or 5. 2*3=6 which is not equal to 2 mod 10. 5*3 = 5 mod 10, so c=5. Then divide 555 by 3 to get a and b.

[@jim55price]

Fun puzzle. Took about 2 minutes in my head, no writing down, charting, etc. Just a bit of simple logic.

[@pokemonamv3042]

Blue colour=1,white colour=8,red colour =5

[@MichaelPaoli]

b, g, and r are non-negative decimal digits, and none of them have the same value % for mod 300b+30g+3r=100r+10r+r b

[@_TNMP]

"mastermind" it seems pretty straightforward to me

[@guessundheit6494]

The only values for C are 0, 5, and 6 because only those multiplied by three end in the original digit. 0 cannot be the answer (QED), so C is either 5 or 6 and the carry from the 1s is 1. A must be 1 because if A = 2, then B = (C-1)/3 which cannot be an integer. A>=3 is a four digit number. If C = 6, the carry from the tens must be 3, but the largest carry of three digits is 2 (9+9+9), so C = 5. The carry from the tens must be 2, and the only 3B+1 that ends in 5 is 8. Ergo. 185+185+185=555.

[@jonathanwatkins222]

I did figure it out, but not with Algebra, rather Logic. The red color has to add to itself three times and come up with itself as a result, with a carry over. Only 5 or 0 can do that, and it can't be 0. The blues have to and up to less than 5 and using a carry over, then equal 5. Only 1 with a carry over of 2 will work. For white, it needs to add up to a number over 20, and with the carry over of 1 will give the 5 in the middle, ie. 24 ( divided by 3 equals 8).

[@xqpxdb3705]

I already answered it before watching the video 😆 Since 5 are the only numbers that is equal to itself by multiplying 3.

[@AnishChari]

(100B + 10W + R)3 = 100R + 10R + R. The only number that has its own value in the ones digit when multiplied by 3, is 5. Substituting 5 into the above equation gives you 10B + W = 18. The only 2 numbers that work are 1 and 8.

[@Lovuschka]

Had it immediately. The red ones can only be 0 or 5 (as multiplying each number between 0 and 9 gives a result that ends in something different, except 0 and 5). However, no three same numbers (other than 000) added give 000. But 000 would be equal to 000 so all of the marbles would need to be red. So it must be 555. Which means the answer must be xy5 + xy5 + xy5 = 555. Which is easily solved by 555 divided by 3. So 185 is the solution.

[@chinareds54]

What single digit number added 3 times gives a result with the same last digit? 0 or 5. It's not 0. So red is 5. The blue-white-red number is 555/3 = 185. Did this in my head in

[@alexalvarez2495]

This one was rather simple, but I liked it quite a bit. Although there were some assuptions that needed to be considered. Thanks

[@MrXiphoid1]

Two comments: 1. I saw the gray circles as white circles that were lit from above, but yes, they are actually gray and who wants to relive the blue/white dress again, and 2. Presh mentioned said only a “mastermind” can solve the problem because the puzzle looks like the Mastermind board game not because it is difficult so everyone can now get off their high horse.

[@JDrapic]

Before watching the solution: jotted down 1 thru 9 in one column and what they equal when multiplied times 3 in the next. Whichever the red circle could be any line where the 1s column matched. This was 5 and 15. Filled in 5s for red and carried the 1. For white, the 1s digit had to be a 4 since the 1 carried. That made the whites 8, carrying the 2, and the only solution for blue then had to be 1. However, once we work out red is 5, we can also just divide 555 by 3 to get the same solution. In the same vein, we could just divide each of 111, 222, 333, 444, 555, 666, 777, 888, and 999 by 3 and see if we get any solutions where the 1s column is the same digit as the original number, getting 555 again.

[@TheDruidKing]

The definition of 'mastermind' has really taken a hit here.

[@samt1705]

Interesting...easy to solve in head! Please keep coming with more such problems.. 👍

[@Sam_on_YouTube]

Got it in about 10 seconds. 3 numbers that added together have the same 1s digit as that number has to be 5, so red is 5. That means the final answer is 555. To get that, we need the grey to be 1 and carry a 2 to make it 1+1+1+2. That means that after carrying a 1, the blue numbers have to add to 24, which means it has to be an 8. 185+ 185+ 185= 555

[@bushputz]

185 Simple puzzle, solved in under 1 minute: Red must be a number that when multiplied by 3 has itself as the last digit. This means red must either be 0 or 5. If red = 0, then both grey and blue would have to equal 3.33333... That means red is 5, and 3x5 = 15. 3 x grey must have a final digit of 4, so that when it is added to the carried 1, that digit = 5. That means grey = 8, and 3x8=24. Blue must fulfill 2 requirement to meet the puzzle conditions. When multiplied by 3, the product must be a single digit, and that product must also equal 3, so when it's added to the carried 2, that sum equals 5. Therefore, blue = 1.

[@dddhhh2612]

Keep throwing in these simple ones every once in a while. It makes me feel smart . . .

[@vikramvilla]

It can b solved using algebra also. Let no. be abc. Value of no. = 100a+10b+c. Result is 100c+10c+c i.e. 111c. Now 3(100a+10b+c) = 111c or 100a+10b = 36c. Minm value of LHS is 110. So, find next multiple of 36 divisible by 10. Which means RHS=180 or 360. Taking RHS = 180 i.e c=5. We get a=1 and b=8. Hence no. is 185. 185x3 = 555

[@gressorialNanites]

Thumbnail makes me say 185. Now let's watch the video. EDIT: Yeah... this was easier than usual.

[@cgsrtkzsytriul]

I worked out an answer: in quarternary (base 4) if zero is blue, 3 is gray, and 2 red, it adds to 222, which is 26 in base 10.

[@potatoman8568]

Yay! Solved it! I surprisingly had a lot of fun solving this

[@alexandermikhailov2481]

It’s quick and easy to establish that only 5 gives 5 as the last digit when multiplied by 3. Then 555/3=185

[@sethapex9670]

This is actually very easy. First you need a number that when trippled produces a sum who's last digit is equal to that number. The only possible number is five, which produces 15. Since 1 gets carried over to the next column, we need a number that when trippled the last digit is equal to 4, the only possible number is 8, which sums to 24, and 2 is carried over. This means that the blue collumn must sum to 3, and 1 is the only number which satisfies it. So blue is 1, white is 8, and red is 5.

[@edsznyter1437]

Nope, zero is still a number.

[@nicknackzgo9113]

The only single digit (excluding 0), if added by itself 3 times or multiplied by 3 that results to have same digit in ones column is 5. Therefore, Red is equal to 5. Thus, this would have a total of 555 When divided by 3 would result to 185. Answer: Blue=1, Gray=8, Red=5.

[@kevinfay4062]

This seemed a little easier than the title would lead you to believe. There are only two digits which can be added three times and get the same value - 0 and 5. Since the leftmost digit can't be zero, the red is 5 by process of elimination. Then just divide 555 by 3 to get the correct answer for the blue and white digits.

[@gvidhya6411]

Tooooooo OSM..... Keeping going ji Kindly, make more video.....

[@Holymackarel_babadoogaming123]

The Video: "Only A Mastermind Can Solve This" Also The Video: **Shows Color Emojis That represent Yugoslavia**

[@DeluxeWarPlaya]

3 equations 3 unknowns. Trivial solution

[@douglasmiller1233]

My method may be a bit convoluted but it worked. The original problem can be represented as 3(100a + 10b + c) = 100c + 10c + c = 111c = 3(37c) 100a + 10b + c = 37c 100a + 10b = 36c 10(10a + b) = 36c ==> 36c is a multiple of 10 ==> c = 5 10(10a + b) = 180 10a + b = 18 a = 1, b = 8

[@chinareds54]

I think a more interesting and challenging problem would be if the sum were all grey instead of red. This forces us to consider the possible carries from the first column, rather than just jumping directly to 555 as the sum. (There are no solutions if the sum is all blue).

[@kevincarson9201]

They cannot all be the same color for this particular problem because the result of adding them would never be a 3 digit result (unless you assume that they are all zero) If you mean that you want to hide the colors, then that would lead to a result of insufficient information to solve, again unless you assume zero for all balls. But honestly, I think a very convoluted and complex problem that cannot be solved, is something that everyone should encounter at least once. Not to reveal my affinity for Star Trek, but it's similar to the Kobayashi Maru scenario that Starfleet gave cadets, which was a "no win" scenario that only got beaten once, and even then it was only beaten by cheating. Real life will always have moments of a "no win" situation. In those times it is not our solution that is important, but rather how we handle a situation where we know we will fail. Failure is always a possibility in real life, but we typically learn more from failure than from success. Success will simply reinforce what we already know or believe. Failure teaches something knew by showing that our previous assumptions or methodology was incorrect or insufficient for a particular task. I find those moments to be invaluable and also humbling, which is something else we all need regardless of skill level or intelligence level.

[@chinareds54]

@@kevincarson9201 What I was suggesting was (BlueGreyRed) + (BlueGreyRed) + (BlueGreyRed) = (GreyGreyGrey). There is one unique solution this problem as well, but it's not as easy to do in your head.

[@jonathanryals9934]

I got it almost the same way, except I didn't bother assigning the variables, I just figured it had to be a 5 because 3x5 results in a number with 5 as final digit, (because 0 wouldn't work for obvious reason you stated). Then I knew the first digit must be 1 because 3x2 would exceed 5. That left me with 240 left to account for from the middle digit. (555-300-15) 3x80 is 240 so middle digit was 8.

[@vincie0007]

ABC+ABC+ABC= AAA Ok, now find the radius of this problem

[@althaz]

I figured it out, but not quite like this: 3c = 10 mod c -> Only c = 5 works. 3b = 10 mod 4 -> Only b = 8 works. 3a = c - 2, a = 1.

[@humanrightsadvocate]

*5* is the only digit that when multiplied by 3 results in a number that ends in 5. So, red is 5. *8* is the only digit that when multiplied by 3 results in a number that ends in 4, So, grey is 8. *1* is the only digit that when multiplied by 3 results in a 3. So, blue is 1. P.S. We need the sum of the second column to end in a 4 because we carried the one from the first column (because 5x3=15). And we need a 3 in the last column because we carried the 2 (because 8x3+1=25).

[@Qermaq]

My simple approach was based on elementary number theory. 3c = 10x + c where x is some unknown value. All numbers multiplied by 3 end in a new last digit except if it’s 0 or 5. 000 cannot be a solution. Saved a lot of time you spent doing algebra, Presh. 😀