# Problem #1002

 1002 For how many integers $n$ is $\frac{n}{20-n}$ the square of an integer? $\textbf{(A) } 1\qquad \textbf{(B) } 2\qquad \textbf{(C) } 3\qquad \textbf{(D) } 4\qquad \textbf{(E) } 10$ This problem is copyrighted by the American Mathematics Competitions.
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