Logic Level 2

$\begin{array}{ccccc} & & & X & Y&Z\\ + & & & X & Z & Y \\ \hline & & & Y & Z & X\\ \end{array}$

Let $$X,Y$$ and $$Z$$ be three distinct single digits satisfying the cryptogram above with $$X\ne 0$$. Find the value of the three digit integer, $$\overline{XYZ}$$.

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