Difference between revisions of "2014 UNCO Math Contest II Problems/Problem 1"
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Revision as of 17:13, 19 October 2014
Problem
The Duchess had a child on May 1st every two years until she had five children. This year the youngest is and the ages of the children are , and . Alice notices that the sum of the ages is a perfect square: . How old will the youngest be the next time the sum of the ages of the five children is a perfect square, and what is that perfect square?