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UKMT Junior Mathematical Challenge, 2023

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

In the addition shown, $x$ and $y$ represent different single digits. What is the value of $x + y$ ? The addition is: $77x$ plus $6yx$ plus $yyx$ equals $1xx7$ .

(A) $10$ (B) $11$ (C) $12$ (D) $13$ (E) $14$

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