A logic problem by Hana Nakkache

Logic Level 1

\[ \begin{array} { l l l l l } & & 3 & x& y\\ +& &y &x &3 \\ \hline & 1 & x& 1 & x \\ \end{array} \] \(x\) and \(y\) are distinct single digits that satisfy the cryptogram above.

What is \(x+y\)?

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