2024 Cayley Problem 14

Ten numbers have an average (mean) of 87. Two of those numbers are 51 and 99. The average of the other eight numbers is

\textbf{(A)}\ 90\quad \textbf{(B)}\ 89\quad \textbf{(C)}\ 88\quad \textbf{(D)}\ 91\quad \textbf{(E)}\ 92

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 Cayley contests here.