Free ACT Practice Question

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ID: ACT-M-18
Section: Math
Topics: Number & Quantity; Numbers and divisibility
Difficulty level: Medium

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Let $\#$ be a digit from $0$ to $9$ such that $\dfrac{1\#}{3\#} + \dfrac{4}{7} = 1$. (Note: here $1\#$ and $3\#$ denote two-digit numbers.) What is the value of the digit $\#$?

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