Problem

2024 AMC 8 Problem 15

Let the letters $F,$ $L,$ $Y,$ $B,$ $U,$ $G$ represent distinct digits. Suppose $\text{FLYFLY}$ is the greatest number that satisfies the equation \[ $8$ \cdot \text{FLYFLY} = \text{BUGBUG}. \] What is the value of $\text{FLY} + \text{BUG}?$

$\textbf{(A)}$ $1089$ \qquad $\textbf{(B)}$ $1098$ \qquad $\textbf{(C)}$ $1107$ \qquad $\textbf{(D)}$ $1116$ \qquad $\textbf{(E)}$ $1125$

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Category: AMC 8
Points: 2
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