Difference between revisions of "2014 UNCO Math Contest II Problems/Problem 1"

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== See also ==
 
== See also ==
{{UNC Math Contest box|year=2014|n=II|before=First Question|num-a=2}}
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{{UNCO Math Contest box|year=2014|n=II|before=First Question|num-a=2}}
  
 
[[Category:Introductory Number Theory Problems]]
 
[[Category:Introductory Number Theory Problems]]

Revision as of 18:17, 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 $1$ and the ages of the children are $1, 3, 5, 7$, and $9$. Alice notices that the sum of the ages is a perfect square: $1 + 3 + 5 + 7 + 9 = 25$. 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?


Solution

See also

2014 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions