2013 Cayley Problem 10

Barry has three sisters. The average age of the three sisters is 27. The average age of Barry and his three sisters is 28. What is Barry's age?

\textbf{(A)}\ 1\quad \textbf{(B)}\ 30\quad \textbf{(C)}\ 4\quad \textbf{(D)}\ 29\quad \textbf{(E)}\ 31

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.