2004 Cayley Problem 14

If x and y are positive numbers and the average of 4, 20 and x is equal to the average of y and 16, then the ratio x:y is

\textbf{(A)}\ 3:2\quad \textbf{(B)}\ 2:3\quad \textbf{(C)}\ 1:1\quad \textbf{(D)}\ 2:5\quad \textbf{(E)}\ 5:2

If there are no answer choices shown, enter a numerical answer.

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