2015 Cayley Problem 16

In a magic square, the numbers in each row, the numbers in each column, and the numbers on each diagonal have the same sum. In the magic square shown, the sum a + b + c equals

\begin{array}{|c|c|c|}\hline a & 13 & b \\ \hline 19 & c & 11 \\ \hline 12 & d & 16 \\ \hline\end{array}

\textbf{(A)}\ 49\quad \textbf{(B)}\ 54\quad \textbf{(C)}\ 47\quad \textbf{(D)}\ 50\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 Cayley contests here.