Logic Puzzles

25. Ages of the Children

A census taker approaches a house and asks the woman who answers the door "how many children do you have and what are their ages?" Woman: "I have three children the product of their ages are 36 the sum of their ages are equal to the address of the house next door." The census taker walks next door, comes back and says "I need more information." The woman replies "I have to go back my oldest child is sleeping upstairs." Census taker: "Thank you I now have everything I need. What is the age of the oldest kid?

Added 19 April 2015

Hint:

Consider the possible combinations of ages that multiply to 36 and how their sums might relate to the address.

Solution:

The oldest child is 9 years old.


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