2015 AMC 12A Problem 4

The sum of two positive numbers is 5 times their difference. What is the ratio of the larger number to the smaller?

\textbf{(A)}\ \frac54 \qquad\textbf{(B)}\ \frac32 \qquad\textbf{(C)}\ \frac95 \qquad\textbf{(D)}\ 2 \qquad\textbf{(E)}\ \frac52

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