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Reversing Digits of Two-Digit Numbers

Source: 2016 AMC 8 #11

November 23, 2016
AMC 82016 AMC 8reversing digitsnumbers

Problem Statement

Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is 132.132.
<spanclass=latexbold>(A)</span>5<spanclass=latexbold>(B)</span>7<spanclass=latexbold>(C)</span>9<spanclass=latexbold>(D)</span>11<spanclass=latexbold>(E)</span>12<span class='latex-bold'>(A) </span>5\qquad<span class='latex-bold'>(B) </span>7\qquad<span class='latex-bold'>(C) </span>9\qquad<span class='latex-bold'>(D) </span>11\qquad <span class='latex-bold'>(E) </span>12