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Difference between Number and its Reverse

Source: 2014 AMC 12A #6

February 5, 2014
AMC

Problem Statement

The difference between a two-digit number and the number obtained by reversing its digits is 55 times the sum of the digits of either number. What is the sum of the two digit number and its reverse?
<spanclass=′latex−bold′>(A)</span>44<spanclass=′latex−bold′>(B)</span>55<spanclass=′latex−bold′>(C)</span>77<spanclass=′latex−bold′>(D)</span>99<spanclass=′latex−bold′>(E)</span>110<span class='latex-bold'>(A) </span>44\qquad <span class='latex-bold'>(B) </span>55\qquad <span class='latex-bold'>(C) </span>77\qquad <span class='latex-bold'>(D) </span>99\qquad <span class='latex-bold'>(E) </span>110
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