Conversation between two Mathematcians

First Mathematicians: I have three childern. The product of their ages is 36. If you sum their ages, it is exactly same as my neighbour's door number on my left. The second mathematician verifies the door number and says that it is not sufficient. Then the first says " Ok one more clue is that my youngest is really the youngest". Immmediately the second mathematician answers . Can you answer the question asked by the first mathematician?

What are the childeren ages?

Questions by koralla_gupta

  
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prititripathi

  • Oct 22nd, 2010
 

Answer is 6,3,2
Logic is find all possible combination of 36
2) sum
the digits that will be the hn
3) all combination sum will be repeated so mathematician get
that hn cannot be same
4) only 6,3,2, sum is not repeated which is hn and last hint said
that their age is unique

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