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UKMT Junior Mathematical Challenge, 2024

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

In the multiplication sum shown, $y$ represents the same digit each time. What is the value of $y$ ?
$\begin{array}{r} 3y \\ \times\ 4yy \\ \hline 1y77y \end{array}$

(A) $0$ (B) $1$ (C) $4$ (D) $5$ (E) $6$

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