2006 UNCO Math Contest II Problems/Problem 7

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Problem

The five digits $a,b,c,d$ and $e$ of $55225$ are such that $a=b=e$ and $c=d$; in addition, $55225=235^2=(235)(235)$. Find another integer $m$ such that $m^2$ is also a five digit number $abcde$ that satisfies $a=b=e$ and $c=d$.


Solution

$109$

See Also

2006 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions
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