# My teacher gave me this tricky problem

Number Theory Level 3

let $$x$$ and $$y$$ be 2 two digit numbers. $$y$$ is obtained by reversing the digits of $$x$$. Suppose they satisfy the equation $$x^2 - y^2 = m^2$$ for some positive integer $$m$$, find the value of $$x+y+m$$.

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