2016 AMC 10B Problem 24

How many four-digit integers abcd, with a \neq 0, have the property that the three two-digit integers ab<bc<cd form an increasing arithmetic sequence? One such number is 4692, where a=4, b=6, c=9, and d=2.

\textbf{(A)}\ 9\qquad\textbf{(B)}\ 15\qquad\textbf{(C)}\ 16\qquad\textbf{(D)}\ 17\qquad\textbf{(E)}\ 20

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