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Some Sum Squares To Product (Posted on 2008-11-22) Difficulty: 2 of 5
The product of the ages of Timothy’s children is the square of the sum of their ages. Timothy has at least 2 children but less than 8 children. All of his children are at least 2 years old and at most 14 years old. All the ages of the children are different and the age of each child is a positive integer when expressed in years.

How many children are there and what are their ages?

  Submitted by K Sengupta    
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Solution: (Hide)
There are four children, and their ages (in years) are: 2, 4, 6 and 12.

Charlie has given a comprehensive computer-assisted solution in this location.

It seems that there is no facile analytical solution for the given problem.

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  Subject Author Date
Solutioncomputer solutionCharlie2008-11-22 19:57:52
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