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Let \(x\) and \(y\) be two 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 \(m\). Find \(x + y + m\).


Source: This question is from KVPY - 2014(SA).
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