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, 2008

Number theory Difficulty 2.0 Junior Find the answer Canada

In the addition of three-digit numbers shown, the letters $x$ and $y$ represent different digits.\\ $\begin{array}{r} 3xy \\ +\ yx3 \\ \hline 1x1x \end{array}$ The value of $y - x$ is

(A) $3$ (B) $-5$ (C) $7$ (D) $-7$ (E) $2$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.