Friday, 23 August 2013

Number obtained by reversing digits. Find the value satisfying a condition.

Number obtained by reversing digits. Find the value satisfying a condition.

Let $a$ and $b$ be two-digit integers such that $b$ is obtained by
reversing the digits of $a$. The integers $a$ and $b$ satisfy
$a^2-b^2=m^2$ for some positive integer $m$. Which could be value of $m$?
a) $30$
b) $31$
c) $32$
d) $33$

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