# Problem #1893

 1893 The sum of two positive numbers is 5 times their difference. What is the ratio of the larger number to the smaller? $\textbf{(A)}\ \frac54 \qquad\textbf{(B)}\ \frac32 \qquad\textbf{(C)}\ \frac95 \qquad\textbf{(D)}\ 2 \qquad\textbf{(E)}\ \frac52$ This problem is copyrighted by the American Mathematics Competitions.
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