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Algebra Difficulty 1.0 Junior Find the answer Canada

The numbers $6, 14, x, 17, 9, y, 10$ have a mean of 13. What is the value of $x+y$ ?

(A) $20$ (B) $21$ (C) $23$ (D) $25$ (E) $35$

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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.