AMC 12 2014a Problem 6

The difference between a two-digit number and the number obtained by reversing its digits is $5$ times the sum of the digits of either number. What is the sum of the two digit number and its reverse?

$\textbf{(A) }44 \textbf{(B) }55 \textbf{(C) }77 \textbf{(D) }99 \textbf{(E) }110$