AMC 12 2011b Problem 7

Let $x$ and $y$ be two-digit positive integers with mean $60$. What is the maximum value of the ratio $\frac{x}{y}$?

\textbf{(A)}\ 3 \textbf{(B)}\ \frac{33}{7} \textbf{(C)}\ \frac{39}{7} \textbf{(D)}\ 9 \textbf{(E)}\ \frac{99}{10}