2000 Gauss 8 Problem 14

A set of five different positive integers has an average (arithmetic mean) of 11. What is the largest possible number in this set?

\textbf{(A)}\ 45\quad \textbf{(B)}\ 40\quad \textbf{(C)}\ 35\quad \textbf{(D)}\ 44\quad \textbf{(E)}\ 46

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 Gauss contests here.