# A Simple Sum

Logic Level 2

$\array{\hspace{.5cm}XXXX\\ \hspace{.5cm}YYYY\\ + ZZZZ\\ \hline YXXXZ}$

In the sum above, each letter represents a digit (0,1,2,3,4,5,6,7,8,9).

Find the value of $$Z$$.

By the way $$X,Y$$ and $$Z$$ are not equal.

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