1997 AHSME Problem 1

If \texttt{a} and \texttt{b} are digits for which

\begin{array}{ccc}& 2 & a\\ \times & b & 3\\ & 6 & 9\\ 9 & 2\\ 9 & 8 & 9\end{array}

then \texttt{a+b =}

\mathrm{(A)\ } 3 \qquad \mathrm{(B) \ }4 \qquad \mathrm{(C) \ } 7 \qquad \mathrm{(D) \ } 9 \qquad \mathrm{(E) \ }12

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