top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

How old were each of Peter's children?

0 votes
510 views

An easier number puzzle is as follows. Two friends are chatting:
- Peter, how old are your children?
- Well Thomas, there are three of them and the product of their ages is 36.
- That is not enough ...
- The sum of their ages is exactly the number of beers we have drunk today.
- That is still not enough.
- OK, the last thing is that my oldest child wears a green cap.

How old were each of Peter's children?

posted Aug 28, 2014 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

Product is 36 and 36=3*3*2*2.
So possible combinations are:

6-3-2 (sum=11)
9-2-2 (sum=13)
4-3-3 (sum=10)
9-4-1 (sum=14)
12-3-1 (sum=16)
18-2-1 (sum=21)
6-6-1 (sum=13)

Note that only 9-2-2 and 6-6-1 give the same amount when added.
Obviously, the second man must know how many beers they have drunk, so he knows the sum.
If he cannot decide yet it's only because the sum is 13 and there are two combinations that add up to 13.
And as we learned further that the oldest son wears a hat, it is clear that the correct combination of ages is 2-2-9, where there is exactly one of them the oldest one.

So the Age of Peter's Children is 2,2,9

answer Aug 30, 2014 by Salil Agrawal



Similar Puzzles
+2 votes

There was an old woman who lived on a beach and the only food she had for her ten children was six potatoes. How did she make sure that each child had an equal share?

+1 vote

If Rs. 49 were divided among 150 children. Each girl got 50 paisa and a boy 25 paisa.
How many Boys and Girls were there?

0 votes

For being good at the garden fete, four children were each given two sweets.
Jack had an orange sweet. The child who had a red one also had a blue one.
No child had two sweets of the same colour.
The child who had a green sweet also had a red one.
Jim didn't have a red sweet and Joe had a green one.
James didn't have an orange one and Jack had no blue sweets.
Knowing that there were two sweets of each colour, can you tell the colours of the sweets each child had?

0 votes

A man taking the census walks up to the apartment of a mathematician and asks him if he has any children and how old they are. The mathematician says "I have three daughters and the product of their ages is 72." The man tells the mathematician that he needs more information, so the mathematician tells him "The sum of their ages is equal to our apartment number." The man still needs more information so the mathematician tells him "My oldest daughter has her own bed and the other two share bunk beds."

How old are his daughters?

+2 votes

It was Halloween night. An evil goblin kidnapped some children who were out trick-or-treating and gave them the option of how they would die. They could either have their brains eaten by worms, be buried alive in a mass grave or tossed into a pit of poisonous snakes. If any of them survived, they would then be set free. One especially bright child thought of the choice that saved them all. Which one would you choose and why?

...