AHSME 1952 Problem 47

In the set of equations $z^x = y^{2x}, 2^z = 2\cdot4^x, x + y + z = 16$, the integral roots in the order $x,y,z$ are: $\textbf{(A) } 3,4,9 \textbf{(B) } 9,-5,-12 \textbf{(C) } 12,-5,9 \textbf{(D) } 4,3,9 \textbf{(E) } 4,9,3$