KVPY #2

Let \(x\) and \(y\) be distinct 2 digit numbers such that \(y\) is obtained by reversing the digits of \(x\).

Suppose they also satisfy \(x^{2} - y^{2} = m^{2}\) for some positive integer \(m\), then find the value of \( x+y+m \).

\(\)


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