1965 AHSME Problem 15

The symbol 25_b represents a two-digit number in the base b. If the number 52_b is double the number 25_b, then b is:

\textbf{(A)}\ 7 \qquad \textbf{(B) }\ 8 \qquad \textbf{(C) }\ 9 \qquad \textbf{(D) }\ 11 \qquad \textbf{(E) }\ 12

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