1952 AHSME Problem 47

In the set of equations z^x = y^{2x},\quad 2^z = 2\cdot4^x, \quad x + y + z = 16, the integral roots in the order x,y,z are:

\textbf{(A) } 3,4,9 \qquad \textbf{(B) } 9,-5,-12 \qquad \textbf{(C) } 12,-5,9 \qquad \textbf{(D) } 4,3,9 \qquad \textbf{(E) } 4,9,3

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