3 Children Ages Puzzle || Brilliant puzzle

Alex and David have the following conversation:
Alex tells David: I have 3 children and the Product of their ages is 72
The Sum of their ages is equal to my House number
David replies : I know your House number
But I still can’t tell what their ages are
Then Alex says : The eldest child loves solving puzzles
David then replies : Now I know their ages
Puzzle :
Can you tell the Ages of 3 children
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[@guruprakash7091]

Omg, David solve all these within his mind.. 😂😂

[@dipakvash404]

David might have pen and paper or smartphone to do calculation.

[@erik19borgnia]

David knew the house number :P

[@sarava338]

omg to Alex, He can say anything by saying something and not that thing

[@Asi707]

@@dipakvash404 laloa2229

[@vrajgautam1512]

David issa human computer

[@kamen42]

I figured out the system, but I was too lazy to write down all the factor combinations and their sums.

[@rajkumarmeena5974]

Same here.

[@factbro2677]

@Deepak singh we can find the house number by using the information that David couldn't get the ages despite knowing the house number

[@doktarr]

The two 6 year-olds could still be 11 months apart.

[@adarshisinha3546]

Best reply ever :D

[@tirsojed]

Or have different mothers. Or one could be adopted.

[@PanThePower]

And twins dont pop out at the exact same time.. so you would still technically have one older and one younger twin..

[@tombratcher6938]

Correct. The first flaw in the puzzle is fixable- say they all had their birthdays last month- but this second flaw is not. I guess It's implied tht you can solve the puzzle because David -thinks- that twins dont have an elder and younger, but we are otherwise having to rely on his mental arithmetic

[@manishkumargupta4355]

Corecct , that is the truth

[@Nesisorator]

I love how David is some kind of 500 IQ mastermind

[@dipakvash404]

David might have pen and paper or smartphone to do calculation.

[@skulpavan5198]

He knows the house number

[@gblargg]

He knows to make explicit the implicit things that one tends to overlook.

[@AbdulKarim-cw8cv]

Well David knew the house number!

[@houssemcheikh3830]

I solved by my own, very easy with my approach. Don’t begin with writing all combinations but try to use all the informations that you have, 1 - he already knows the sum of product 72 but he can’t figure out the exact age. 2 - the word “eldest” gave him the answer. So we can understand that he found 2 corrects answers for the problem (product = 72 and sum = x), he know x but not me ! So => here I tried to figure out the first answer ( child 1 and 2 has the same age) Than I tried with cube From the highest 8*8 not good, 7 * 7 not good 6 * 6 good 5 * 5 not good, ... the only good answer is 6 * 6 * 2 = 72 But for me now, I know the sum that is 14. I just try 72 / 3 = 24, (to begin with 3 for the youngest cause 2 can’t be possible ) 24 is 6 * 4 ( sum of all Is 6 + 4 + 3 = 13) not good, Than I tried 8 * 3 * 3 sum = 14 ==> the good answer. Please tell me if my approach Is good or only solved with chance, thank you

[@keshavdasggp]

Hey, I solved the question..... I really enjoyed when I got the right answer.😀😀

[@azstyles940]

Greatt

[@joelleet554]

This one always bugged me because of the fact that two children can be the same age in years but born at different times of the year. And that twins have an older/younger sibling as well. I get it, but there are technicalities with this problem that these videos seem very good at avoiding most of the time.

[@phoenixarian8513]

Also they may have different moms. Immoral in China but not the case in some regions like islamic ones. In the original language of this question it is possible that the term of "elder children" could not be spoken despite of these possible cases, but they could, in English, or in my original langugage, Chinese. More than that, I couldn't find out what the product of sums are until I saw the solution- they are multiplication results. Language can be a harsh barrier when come to these.

[@sharatice]

Who is such a friend who is so close to know your "door number" but doesn't know since when you might have had children and what their ages could be?

[@Violaetor]

Your house number is usually posted outside on your house, unlike your child's birth records.

[@HomoIndoeuropaeophilus9766]

I came up with the right answer of 3, 8, 8 but I was a bit lucky because I fallaciously assumed that the three children were - as children - under 18 years old. So I only had 7 equations with factors making 72. Hence I'm lucky it didn't care anyway. Very nice vid, mate.

[@RahulSharma010]

I watch even ads on your videos now to support your efforts 😅

[@rnk4050]

If two of their ages are 6,it doesnt mean they are twins,one may born are january and the other on december and there are many possibilties of both born on same year so there is a logical error but the solution is awesome

[@williamtraynor4350]

The puzzle refers to their ages currently and not what they might have been at a time in the past six months or would be at some point in the next six months

[@gblargg]

Two of the children could have the same age when rounded to years yet have been born 9 months apart. Also sometimes one twin is considered older when it was born first.

[@sathyammachennuru8686]

This is superb

[@LOGICALLYYOURS]

Thanks Cheeku

[@bijoykumardas3516]

It is unbelievable for me that this question can be solved logically. That is logic may be sometimes magic.

[@aarontaisey5411]

Solved it a lot more quickly using the logic that David would know the kid's ages unless there were twins. Any scenario where the number was used only once he'd know their ages. it becomes a much smaller table when 2 of the 3 numbers have to match.

[@mekaindo]

"Your daughter is so cute! How old is she?" "Thanks! Well, the product of my age times her age-"

[@Vzduch2]

tbh there is no need to make a sheet at all, david realized what their ages were when he said he has an eldest son, which means there was an option with 2 older children having the same age and a younger child, that would only leave 6 6 2 as the only choice that can be eliminated because 6 is the highest number you can make 2 of from 2 * 2 * 2 * 3 * 3 which means the sum is 6+6+2 and you just need to find the other possibility which would be 8 3 3.

[@timvanmonero2720]

2/6/6 can also include the eldest child. one literally came earlier...

[@sewingmachine5467]

Love this puzzle, but I prefer to end with the question, “what was the door number?”. There is a much higher chance that they have understood the whole presentation if they can calculate this.

[@hidenrage]

The explanation takes too long. You can skip the first step AND the second step by realizing that David cannot know the ages because he knows the house number BECAUSE the product of 2 kids must be a square number and only 2 squares go into 72. The last bit where he mentions there is an eldest child eliminates 36 as the square so it must be 9. QED, 3 x 3 x 8 = 72.

[@b00merism]

Even with twins one of them is older.

[@adarshranjantripathy5562]

wow really interesting puzzle.....great bro:)

[@easy_s3351]

Funny thing is that the parents of twins often refer to them as the eldest and the youngest. So whereas the idea behind this problem is valid the problem itself isn't. The last piece of information should have been more clear, like for instance "one kid is in 2nd grade" or "two kids don't go to elementary school yet" (for answer 3-3-8) or "the youngest doesn't have all her teeth yet" (for answer 2-6-6).

[@nandanburnwal2755]

In twins also people say the 1st one as elder...🤗

[@SoloWraithToyingAround]

So David knew the sum but was confused between if there was eldest child or eldest children (coz he got clarified by the eldest child sentence) so both the combinations had same sum.... Now in 3,3,2,2,2 only 6,6,2 had same age of eldest children( which is wrong combination but sum is equal to the right one) then directly we can figure out (2x2x2),3,3 will be the right one coz it equals to 14....no need of all the calculations.... P. S. I thought this in the waiting time and skipped to the end to see the answer... Not bragging or anything but I think its a simpler approach while the end conclusion is same that they had same sum!!

[@SoloWraithToyingAround]

In short 72 = 3x3x2x2x2.... So before clarifying eldest child or children... If he considered elder twins that means same age of both and in 3,3,2,2,2 only 3x2,3x2,2 can be the combination of elder twin condition and that had same sum with the correct condition(only one eldest child which got clarified later) so 14 which is also equal to (2x2x2)+3+3 ie 8,3,3

[@shivanshpandey2026]

solved it on my own😎...god bless you

[@ProMode-px1wk]

What? I think that problem isn't designed for humans

[@ParkerDD]

Would the eldest child not also be the first born twin?

[@geertleunis4030]

Actually the logic can be applied even more elegantly. You don't have to write down any combination. Just realize that the outcome switxhes from unknown to known after mentioning 'eldest'. Then you know already you just eliminated a combination with twins as eldest, which can only be 2-6-6. Then you just have to find the other combi that has 14 as sum. No pencil and paper required..

[@akshaykothawade]

Wow😍

[@shreyartz1697]

Who made this puzzle?☺️☺️ amazing.

[@MrMousley]

So .. I got a piece of paper out and wrote down every way that there was to get 72 from the product of three numbers .. and then I went through the list and added those three numbers up to see which ones gave the same answer (because if they all had different answers then David would know the answer if he knew the house number) .. and then I looked to see which of those answers came from three different numbers (because one child had to be older) .. and then I thought, so that was the long way to do it, let's see the quick way .. and that was the way to do it !!

[@mikedaly6891]

I assumed that the children were minors, so I ignored sets with 18 or higher. Fortunately I still got the solution. The dude with a 72 year old and 1 year old twins must have an interesting story.

[@anhadsinha928]

One of the best puzzle I have ever seen 🔥

[@parveenkalonia7127]

I LOVE THIS ......ITS OUTSTANDING.........

[@LOGICALLYYOURS]

Thanks Parveen:)

[@ashishsoni4739]

It was really awesome brother!!!

[@LOGICALLYYOURS]

Thanks Ashish :)

[@PRIMEVAL543]

My Grandfather is 72 and loves puzzles. His siblings are twins each 1 year old

[@amartyaaganipalli7860]

I'm not convinced by the wide guess of house no.

[@kratikaagarwal5415]

Really great 👏👏👍

[@adarshranjantripathy5562]

I am sure that soon a silver button will be yours.......:)

[@LOGICALLYYOURS]

Hey Adarsh.... many thanks for all your wishes and support... on silver button first give away will definitely be yours :)

[@mikael900]

It's not a pure answer because the option of 2,6,6 might have an eldest child, just their birthday hasn't come yet this year. The eldest child might only be 9 or 10 months older than the next child. in that case the eldest and 2nd eldest child could both be 6 for up to 3 months.

[@devondevon4366]

34And the eldest child is 'singular ' meaning 'one' child (not children) so as said below 3, 3 8 and 66 2 are the only two with same sum from looking at 1 x 2 x 2 x 2 x 3 x 3 as you get two pairs of '3' and two pairs of '3 x 2' . The point is if his house number was 18 then his friend would have known that the children ages are : 8 9, and 1 since only sum of the these three ages gives 18 yet 8 x 9 x 1 =72 . And if the house number was 19 (given that the friend knows this) then the friend would have known that their ages are 1 , 6 and 12 since no other combination besides 1 6 and 12 has a sum of 19 the same is true for 13: (3 x 4 x 6) as 3 +4 +5=13 15: (4 x 2 x 9) as 4+2+9=15 17 : 3 x 2 x 12 as 3+2 +12 =17 (which are sum of the product , 72). So the goal should be to find 2 combinations with similar sum and those are course 3, 3 8 and 6, 6 2 , both have 14 as sum.

[@Smitasahoo99]

Great, david is faster than a machine

[@palakditani769]

Superb

[@MrPorho]

Why would you assume that two child of the same age would be twins? Even if the father is same for both.

[@shashikiran5385]

😂😂😂😂

[@ironichoodies]

Who knows if it's the same dad, but different mums

[@mandolinic]

I'd like to try a couple of variations. Solve it for 71 and 73 ;-)

[@RemyWillard]

Aren't those both prime numbers?

[@lonewolf42923]

@@RemyWillard yes prime numbers, so the answer is 71 or 73, and 1 and 1 which is.. disturbing.

[@Refefnir]

Twins still have different birth time. I am 2, 3, 5, etc minutes older than my brother is a common phrase. Therefore this answer is incorrect.

[@danielao7593]

Noob

[@maruthasalamoorthiviswanat153]

Nice logic Sir

[@Harker777]

That's not exactly right as just because two children are the same age does not always mean they're twins - I know. I was born in January and my brother in December of the same year.

[@talhodorkovsky8318]

Super cool

[@solaimansohan9201]

Thanks

[@jakistam1000]

I missed the option of one of the children being 1year old... Lucky for me, this didn't change the answer

[@shaktibhat3792]

Great explanation

[@LOGICALLYYOURS]

Thanks Shakti :)

[@syedashiq9521]

You are genius bro please told how you thinks about these puzzles

[@mohamedsulaiman7410]

Superb logic

[@OddBallTrails]

Superb question....thanks.

[@1au780]

Superb bro...

[@williamtraynor4350]

A bit misleading...I thought that David only knew the house number from the facts not that he knew it beforehand

[@nightfox6738]

I got the eldest child thing, but there's no guarantee that they were twins. One could be 6 years and 1 month and the other just turned 6 meaning the former child would be older hence still considered the "eldest child".

[@nicokra7602]

no need to write down all possible combinations. it must be 2 x 2 x 2 x 3 x 3. david assumes the older children might have the same age. this is only possible having 2x3 and 2x3, while the other child is 2. hence house number is 14. if the oldest children is 2x2x3 the sum would be already too high, so only 2x2x2 remains for the oldest and 3 / 3 for the others.

[@paramitadas1756]

Really cool

[@susobhanghosh6161]

How do you find such puzzles its all of brilliant 👏

[@komalagarwal9830]

Good one

[@rojashan8745]

Wowww

[@douglasfeather3745]

You said that 2 children with the same age 6 must be twins, this is not necessary the case. One could be just 6 and the other nearly 7.

[@jackelejack6232]

👌👌👌👌

[@NickSingla]

Wow David is genius. Be like David 😂

[@no.3874]

I did it quite quickly

[@snuhithreddy5458]

I sloved it but took much time in finding factors

[@renetonoble5691]

This a very logical puzzle

[@renetonoble5691]

@@rahulkhatwani548 I didn't mean any sarcasm.

[@guruheart9911]

Wow

[@smilingstarsomu975]

Bro you are copying all questions from Google

[@souvikg347]

But we stop after taking 3×4×6? Isn't there be more factors

[@nox9458]

What if the first child is elder than the second by few months, but not a complete year?

[@LOGICALLYYOURS]

:) finally I see the comment i was waiting for :) I was sure that this doubt will arise. Well in that case the product will lead to decimal value.

[@Ennar]

​@@LOGICALLYYOURS, I don't see why it would lead to decimal value. Everybody (except when it comes to babies) says age in integers. Without this assumption, the first step of factoring 72 is invalid. So, if the difference in kids age is between 9 months and a year, for up to three months every year they are of same age and 2, 6, 6 could still be valid. The first time I saw this puzzle it was set up so the clue is something like: "the younger two are twins" (probably with product other than 72, so it makes sense as a puzzle - 36 works).

[@abhinavsoni8513]

When the puzzle said "my eldest son loves solving puzzle" I thought it might be tricky interview like question. And eldest son would be me hahaha since I came to this video so I love solving puzzles. In that way we have all the known values to calculate. Since I know my house no. too.. however everybody's answer would differ. That was my approach 😆😆

[@Harsh_____13]

so clever david

[@techmaniac5802]

a puzzle should be logical, not long.!!!!!

[@joepiazza3756]

I got the answer but it is just dumb that the oldest twin can't be the oldest. Also know people that are born about 10 months apart and Alex can also have different baby mamas.

[@desidoodperfect]

Congo bro 1 to like and comment..!! And btw congo for 7k subs..!! N thanks 4 like

[@LOGICALLYYOURS]

OMG !! that was real Quick :)

[@desidoodperfect]

Ya i have. Subscribed u from 850

[@camerongray7767]

Wow I thougt it was impossible! So cool!

[@mrfork1176]

And what about 2,3,12 and 2,4,9 having sum of 15 ? i prefer the solution 2,3,12 , as 12 is more realistic age to enjoy puzzles than 8 ...

[@roberthart5189]

Knowing one child is older than the others doesn’t solve the puzzle in your example. David wouldn’t suddenly know the ages after being given the hint one child is older than the others if the house number was 15.

[@allahspreadshate6486]

I can't concentrate on the problem because I can't overlook the bizarre use of capitalisation.

[@MostafaAhmed-rx7hr]

fanatastic logic

[@maheshka3036]

I thought it was 2,4,9...because children aged more than 6 are interested in solving puzzles (including the hard ones)....so I thought they might be the answers

[@pryo2460]

This was n easy one

[@kevinsiedenburg4955]

The 6 year old twins are both 6, but one of them is still older than the other.

[@KinChungE]

What if the ages are not integers but decimal numbers?

[@nalakajayasinghe1481]

Got through. Really happy 😃 I

[@V7B817]

Brilliant 👏👏👏👏👏🙏🔥

[@mpeterll]

Not original. I first saw this puzzle about 45 years ago.

[@ceo31122]

My Ans is Right Co incidentally But Process is wrong

[@Dyers88]

Brilliant

[@RISHABH-vt9mq]

Amazing

[@dharmarajm2646]

How it's possible if you say 3,3,8..How can be two childrens at the same age

[@RAKESH7CSK]

Wow.. amazing

[@LOGICALLYYOURS]

Thanks Rakesh :)

[@kevindunn1658]

Love your stuff but this just isn't true. There is an eldest even with twins. Especially there is an eldest if they were 10-11 months apart.

[@danielao7593]

I wasn't concerned about the twins concept...

[@boardsagarwal1980]

I did in some way and my answer matched

[@snuhithreddy5458]

3×3×8 and 2×6×6 have same sum and product is 72 only one elder one so 3,3,8 is answer

[@savitrinavada2987]

This is sooo easy,the answer is No,because he asked can you tell the three ages not what is the age of the three lol

[@pavan-nc2gs]

Awsome broo