I solved this simply in my head without reaching for algebra. There were three steps. 1. Start at the half way point, 188/2 is 94 2. Halve the difference, 34/2 which is 17 3. Add and subtract to get the two numbers. 94 + 17 = 111 and 94 - 17 = 77 Simples ☺️
@reiniernn9071Күн бұрын
My solving is a little different. Without using paper in a matter of a few seconds. A+b=188 A=b+34 2*b+34=188 2*b = 154 b= 77, a = 111 (b+34)
@KendyJane6719 күн бұрын
I really enjoy watching your videos and refreshing my math skills. I graduated with a degree in Finance in 1989. lol. I worked 32 years snd am now retired. I have always loved Algebra but have forgotten so much. But when I go through these videos it comes back quickly. Thanks for the videos.
@bigdog362818 күн бұрын
here is a tough one for you.... what if it was x² + y = 148 and x - y = 8. if you want to answer, answer fully.
@chrisdissanayake697919 күн бұрын
Let the two numbers be X and Y. X + Y = 188 -(1) X - Y = 34 -(2) Adding the two equations, 2X = 188+34=222 2X = 222 X= 111 Substituting this value of X to the first equation, X + Y = 188 111 + Y = 188 Y= 188-111= 77 Therefore, the two numbers are 111 and 77.
@russellbrown702419 күн бұрын
This is the method I used to solve the problem.
@tonysea972419 күн бұрын
Exactly and the math took 20 seconds
@gertdogterom496013 күн бұрын
X-Y = -34; X = 77, Y = 111
@BenjaminBreedlove19 күн бұрын
This is a simple 'in-your-head' math problem. 188/2=94+17=111 94-17=77. Simple problems like this should only take 20 seconds or less.
@billmorris261319 күн бұрын
Dats exactly how I did it.
@DaveHarris7519 күн бұрын
For “experts,” maybe. But, I’m a beginner at algebra, and lessons like this “simple” math problem help me tremendously.
@pysankar19 күн бұрын
I subtracted 34 from 188 and got 154 and divided it by two to get 77 and then added 34 back in to get 111. Your way was even quicker than my way.
@NoxiousRob19 күн бұрын
@@pysankar That's the way I did it. It's basically a variation of the OPs solution, and in fact quicker. You're solution required only 3 calculations while the OP's required 4.
@eddiepierce702819 күн бұрын
That’s exactly how I did it in my head. About 30 seconds. A 66 year old brain isn’t quick. :)
@CarlSteyn18 күн бұрын
I am 83 and never went to college but numbers is my thing. It took about 2min to solve. Divide 188 by 2 and subtract or add 34 divided by 2 to get 77 and 111. Voila!
@chuckmoore138019 күн бұрын
I actually chose a different route. Since we are told the difference between the two numbers is 34, I used this equation: x + (x+34) = 188 which simplifies down to 2x + 34 = 188 2x = 188 - 34 2x = 154 x=77 Plugging that into my original equation: 77 + (77 + 34) = 188 We now get the two numbers: 77 + 111 + 188
@chrisdissanayake697919 күн бұрын
@@chuckmoore1380 Dear Chuck, I think that your understanding and approach to solve the problem was unique and amazing! That’s what is so exciting for me in Mathematics! Each person’s brain works in its unique way. When we understand the problem correctly, each of us gets a gut-feeling about how to do the problem. As far as we don’t break any rules and stick to the truth, the correct answer pans out, even though the problem is done in a different way. The beauty of everything is being able to appreciate each other’s thinking pattern honestly and truly admire his/her work in solving the problem🙏🏽
@SowoleJimoh-vj8io18 күн бұрын
Same with me.
@chrisdissanayake697918 күн бұрын
@@SowoleJimoh-vj8io That’s the amazing beauty of Mathematics, where we can celebrate together 👌🏽🎶
@favoriteswubby15 сағат бұрын
That's the way I did it also 😊
@neilmartin9919 күн бұрын
I did it in my head in around 12 seconds. half of 188 is 94. Half of 34 is 17. Add 17 to 94 and it equals 111 Subtract 17 from 94 and it equals 77. 111-77=34 LOL It actually took longer to write this than it did to solve it in my head.
@MayBeMe...16 күн бұрын
I never learned Algebra, I just took 188 minus 34 = 154 divide by 2 = 77 then add 34 to "one of the two" 77's making one "111" and leaving the other at "77" and that makes the two numbers "111" and "77"....using Algebra seems messy.
@vanderpoolfarmsl.l.c.998319 күн бұрын
Easy problems are still fun when you see how fast you can solve. Thank you!
@stanrivera896518 күн бұрын
Adding the 2 equations was new to me, and much quicker! I went the old way of x=188-y, etc. It took longer, but of course was very easy. I like your explanations. Do you have a calculus course, I'd like to do it, just for fun (I'm 76, and need to keep my brain alive😂)?
Oops, several typos in my post 188/2= 94 32/2= 17 94 + 17= 111 one of the two numbers 94 - 17= 77 the other number
@adgf1x11 сағат бұрын
84-17=67 and not 77
@rickhole9 сағат бұрын
@@adgf1x 188/2= 94, not 84
@flashtheoriginal18 күн бұрын
Simultaneous heaven x+(x+34)=188 2x+34=188 2x=188-34 2x=154 X=77 Summary to prove: 188-77=111 111-77=34 Numbers are 77 and 111
@armchairtin-kicker50319 күн бұрын
This problem can be solved using a system of linear equations. x + y = 188 x - y = 34 2x = 222 x = 111 (111) + y = 188 y = 77 Therefore the two numbers are 111 and 77.
@michaelperine278019 күн бұрын
I recognized simultaneously equations immediately. That was from high school algebra 65 years ago. At my age, long-term memory is better than short-term memory.
@cyruschang190418 күн бұрын
1) a + b = 188 2) a - b = 34 1) + 2) => 2a = 222 a = 111, b = 77
@michealmorrow148119 күн бұрын
77 years old and got it first try. Hooray for an old brain!
@donmagnus934818 күн бұрын
+1 - 81 Years old and got it in the first try.
@panlomito19 күн бұрын
A + B = 188 and A - B = 34 or A = 34 + B so ( 34 + B ) + B = 188 2B = 188 - 34 = 154 so B = 154/2 = 77 and A = 34 + 77 = 111 Check: 111 + 77 = 188 and 111 - 77 = 34
@bigdog362818 күн бұрын
super simple we have two equations with two variables. Let x equal the first number Let y equal the second number x + y=188 and x - y=34 y = x - 34 We have a value for y so let us plug it into the x + y equation x + [x - 34] = 188 Now we combine x's and isolate with subtraction this gives us 2x = 222 x = 111 Now that we have a solution for x we must find the solution for the y variable by using substitution. y = [111] - 34 y = 77 Now we must prove our solutions. 111 + 77 = 188 and 111 - 77 = 34 This proves that x does in fact equal 111 and y does in fact equal 77
@UserSams-ve2mj18 күн бұрын
x+y=188 (1) x-y=34 (2) Solved in head easy x = 111 ; y = 77 Method: Add the two equations (1)+(2) together, you get x + y + x - y = 188 + 34 2x = 222 x = 111 Replace x in any of the equations, you find y (1) 111 + y = 188 y = 188 - 111 = 77 (2) 111-y = 34 y = 111-34 = 77
@RRRSSS111119 күн бұрын
Algebraic formula X + (X+34)= 188. 2X=188-34=154 X=77. 77+34=111. 188/2= 94. 34/2=17. 94-17=77. 94+17=111. 111+77=188. 111-77=34. Numbers are 111 and 77.
@Vipre-19 күн бұрын
Half the first number plus and minus half the second.
@cheryldowling664719 күн бұрын
Why make this so hard? 188-34÷2.
@robertstuart664519 күн бұрын
An easy one-step Gaussian elimination problem : Q X+Y =188 and X -Y = 34. It's always good to practice using this method.
@JoeG232419 күн бұрын
x + y = 188 x - y = 34 y = 188 - x x - (188 - x) = 34 x - 188 + x = 34 2x - 188 = 34 2x - 222 x = 111 111 + y = 188 111 + 77 = 188
@keithsharratt340219 күн бұрын
188 - 34 = 154 so 188 and 154 are the two numbers that have a difference of 34 , common core math rules.
@raya.pawley356319 күн бұрын
Thank you
@XyYx-on1gl19 күн бұрын
A + B = 188, A - B = 34, therefore 2A = 188 + 34 = 222, so A = 222 / 2 = 111, 111 + B = 188, therefore B = 188 - 111 = 77
@pandurangaraonimmagadda996619 күн бұрын
x+y=188,x-y=34 , adding 2x=222, x=111, y=77
@russelllomando846019 күн бұрын
got 77, 111 easy 2 variables isolate 1 of them substitute and solve thanks for the fun
@terry_willis19 күн бұрын
I used X and Z and still got the correct answers, 111 and 77. :)
@davewitter656513 күн бұрын
Algebra according to my 6th grade teachers what you do on one side of the fence you do on the other. You might want to slow down where you divided 2x by 2 to show how you got x. Simple but important concept.
@checkfactschecking19 күн бұрын
First I divided 188 by 2 =94. I divided 34 by 2 =17. The two numbers are 94 + 17 and 94 - 17. Just did it in my head in a few seconds.
@tomtke735119 күн бұрын
N.1 Number 1 N.2 Number 2 N.1+N.2=188 eq.1 N.1-N.2=34 eq.2 two equations in two unknowns add together eq.1 and eq.2: N.1+N.2=188 eq.1 N.1-N.2=34 eq.2 2×N.1=222 N.1=111 N.2: N.1+N.2=188 eq.1 111+N.2=188 N.2=77 verify N.1-N.2=34 eq.2 N.1=111 N.2=77 111-77=?34 34=❤34✔️
@josiahreed-kj7ph18 күн бұрын
I got 111 and 77. 2x-34=188 2x=222 X=111 188-111=77 77 and 111 I learned this in algebra 1
@dazartingstall668019 күн бұрын
x = 0.5(188 − 34) x = 0.5 × 154 x = 77 y = 188 − 77 y = 111 check: 111 − 77 = 34
@dateland-twopalmspress75519 күн бұрын
i subtracted 34 from 188 and divided by 2 -- do you need algebra for this kind of problem?
@MayBeMe...16 күн бұрын
I did what you did as well!! Seems like algebra complicates everything!
@vincentrobinette150719 күн бұрын
I use a more simple methood. I divided the total by 2, (188/2=94) then, divided the difference by 2. (34/2=17) then, 94+17=111, 94-17=77.
@neilmartin9919 күн бұрын
Exactly what I did in my head.
@johnmarchington314618 күн бұрын
I used algebra, so a + b = 188 and a - b = 34. Adding the two, 2a = 222, so a = 111. b =188 - 111, so b = 77. Since 111 - 77 = 34, I think the answers are coprrect
@gertdogterom496013 күн бұрын
There are two answers X=111, Y=77; X=77, Y=111 x-y=34 or x-y=-34
@BrianHartman19 күн бұрын
x + y = 188 x - 34 = y 2x - 34 = 188 x = 111 y = 77
@Frie_Jemi19 күн бұрын
If the difference from the small number to the big number is 34 and it all adds up to 188, then twice the small number equals 188 - 34 OR 2x=154
@yearoftherabbitoftheyear14 күн бұрын
116+72... 99 is half add AND subtract half of 34 (17) and you have the values
{ 77, 111 } in about 45 seconds in my head. Fun one!
@renaeschuchard982414 күн бұрын
A + B= 188= 188-34=154÷2=77+34=111+77=188
@renaeschuchard982414 күн бұрын
A=111, B=77
@dustyoldduster640718 күн бұрын
Copilot: 111 and 77. ChatGPT: 111 and 77.
@thesoundsmith19 күн бұрын
spoiler cover 188 /2 = 94. 34/2=17. So the numbers are 94-17=77 and 94+17=111. 111+77=188.
@Wilkins_Micawber19 күн бұрын
(188-34)/2=77. (Hmmm, My age 77). 77+34=111. Therefore 77+111=188. I did this in less than 30 seconds, without algebra, In my head at 4am to try and bore myself to sleep. Didn't work, I'm still awake typing this result in, aren't I?. However I enjoy these little brain teasers.
@jhonmolao554918 күн бұрын
In my head----188 less 34 is154 divide by 2 equals 77.that is one number.Add 34 equals 111 which is second number
@NekuraCa17 күн бұрын
Sum/2 ± Diff/2
@nikkitytom12 күн бұрын
188 - 34 = 154 154/2 = 77 77 + 34 = 111 So the numbers are 77 and 111
@davidwood238719 күн бұрын
I got this when I first saw it . Right after I saw the problem . Why who knows .
@IanM-id8or19 күн бұрын
111 and 77. I didn't use a calculator. This one was too easy
@jiyoungpark623318 күн бұрын
x+y=188 y-x=34 y=111, x=77
@dwightpalmer973018 күн бұрын
I divided 188 by 2 = 94. The difference of 34 I divided by 2 = 17. add 17 to 94 = 111 subtract 17 from 94 = 77 conclusion the two numbers are 111, 77. I didnt need to use a formula for this one it was too simple.
@faireplaymedia762215 күн бұрын
188/2=(94-17) + (94+17) 188= 77+111
@sunilblessy484617 күн бұрын
. x= 111, y=77
@TonyChev19 күн бұрын
111 and 77. This is too easy
@billmorris261319 күн бұрын
111 & 77. 111 - 77 = 34. 111 + 77 = 188.
@jplsgaming458211 күн бұрын
What grade classification is this type of question?
@robertjohnson44016 күн бұрын
Simultaneously equations.
@ajayshah195018 күн бұрын
Solved within 30 seconds
@naabjose697513 күн бұрын
X=111 and y =77 , therefore the numbers are 111 and 77
@kochupudla19 күн бұрын
111 & 77
@gloriadania635219 күн бұрын
111 and 77
@TomK-d3u18 күн бұрын
You can easily do this problem in your head in about 20 seconds maximum.
@romanwondimu869619 күн бұрын
94+94=188-154=34
@TessSvillanera18 күн бұрын
154+34=188 and 188-154=34
@JohS-q8y10 күн бұрын
I appreciate what you are doing. I want to suggest that you be more succinct I keep saying "get to the point man.
@AKATONA195319 күн бұрын
2x+34=188
@edwardalikor921219 күн бұрын
111, 77
@michaelhempton329319 күн бұрын
188/2 +-17
@kennymishatylergamingeeee518318 күн бұрын
111 and 77, just divide 188 by 2 and then add 17 to get 111, and then subtract 17 to get 77. Shouldn't take 15 minutes to solve a simple problem like this
@flummer718 күн бұрын
in about 5 seconds 111 and 77. So simple: 188/2 = 94 and 34/2 = 17.thus the numbers are 94+17 and 94-17. How did this take 15 mins ?
@coolkitty207519 күн бұрын
188 - 34 ÷ 2 = 77
@ramesankd160418 күн бұрын
32-3
@zita182519 күн бұрын
188÷2=94-60 =34
@varshmadhu798310 күн бұрын
Got the same answer
@thomas-gw3xf16 күн бұрын
wow what a long way to answer is X+X+34=188 2X=154 X= 77 ANSWER IS 77 AND 111
@rgrinnell19 күн бұрын
154
@SavvyGovender-jf3tv18 күн бұрын
62
@michaeledwards225118 күн бұрын
94 +/- 17
@ganapathi59043 күн бұрын
111,77:
@michellestenberg643614 күн бұрын
111 77
@ronwhitfield887217 күн бұрын
15 seconds in my head @ 66 y old They don’t teach mental arithmetic these days
@hradaykantsaraiya580813 күн бұрын
222. , 77
@oov5515 күн бұрын
seriously ???
@Rev03FFL3 күн бұрын
You guys are all wimps. I created a 2x2 matrix of coefficients, then inverted the matrix and multiplied it by the results vector. Only took about 4 minutes because I had forgotten how to enter an array function in legacy Excel.
@ramesankd160418 күн бұрын
3'14rootof6
@subramanyaa385119 күн бұрын
More than solving problem taking ismore
@earlhaywood437218 күн бұрын
Staying too long to get to the point.
@debandmike338019 күн бұрын
Explanation way too long
@ralphmelvin104618 күн бұрын
But he is teaching
@wicksp33518 күн бұрын
Great stuff, but you take so long with endless repetition, it's so frustrating I skip ahead a dozen times!
@sandramatthew721014 күн бұрын
GOOOOOOODDDDDD
@gavindeane367019 күн бұрын
Without the extra 34 the two numbers would be equal and the total would be 188 - 34 = 154. Each number would then be 154/2 = 77. So the smaller number is 77 and the bigger number is 77+34 = 111.
@ramu25267 күн бұрын
At the beginning 9 minutes total waste of time! Beating about the bush.