1997 Fermat Problem 11

Five integers have an average of 69. The middle integer (the median) is 83. The most frequently occurring integer (the mode) is 85. The range of the five integers is 70. What is the second smallest of the five integers?

\textbf{(A)}\ 77\quad \textbf{(B)}\ 15\quad \textbf{(C)}\ 50\quad \textbf{(D)}\ 55\quad \textbf{(E)}\ 49

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.