Art of Problem Solving

Euc20191/Sub-Problem 2

Problem

What integer $a$ satisfies $3<\frac{24}{a}<4$?

Solution

If $a=6$, then $\frac{24}{6}=4$ and if $a=8$, then $\frac{24}{8}=3$. So, $a$ has to be between $6$ and $8$, and therefore, it has to be $\boxed{7}$.

~Yuhao2012