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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[guruprakash]

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

[kamen]

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

[Nesisorator]

I love how David is some kind of 500 IQ mastermind

[doktarr]

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

[joelleet]

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.

[houssemcheikh]

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 I really enjoyed when I got the right answer.😀😀

[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?

[HomoIndoeuropaeophilus]

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.

[RahulSharma]

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

[rnk]

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

[mekaindo]

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

[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.

[bijoykumardas]

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

[sewingmachine]

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.

[timvanmonero]

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

[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!!

[Vzduch]

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.

[easy_s]

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).

[aarontaisey]

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.