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Solution to Puzzle 27.  AGE PROBLEM

 

The product of the ages of David's children is the square of the sum of their ages.  David has less than eight children.  None of his children have the same age.  None of his children is more than 14 years old.  All of his children is at least two years old.  How many children does David have, and what are their ages?

 

SOLUTION:  Their ages are:  2, 4, 6 and 12.

 

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The Last Recreations:  Hydras, Eggs, and Other Mathematical Mystifications

Author:  Martin Gardner

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