Answer
The percentage of college men who play online
games multiple times per day is $24\%$ and the percentage of college men who play online games once per day is $17\%$.
Work Step by Step
Step 1. Assume the percentage of college men who play online games multiple times per day is $x$ and the percentage of college men who play online games once per day is $y$.
Step 2. Based on the given conditions, we can setup the system of equations as $\begin{cases} x+y=41 \\ x-y=7 \end{cases}$
Step 3. Add the two equations; we have $2x=48$ and $x=24$ percent; thus $y=x-7=17$ percent.