2014 UNCO Math Contest II Problems/Problem 1
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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?
