MathDB
Sum of x,y, and m

Source:

November 17, 2005

Problem Statement

Let x x and y y be two-digit integers such that y y is obtained by reversing the digits of x x. The integers x x and y y satisfy x^2 \minus{} y^2 \equal{} m^2 for some positive integer m m. What is x \plus{} y \plus{} m? <spanclass=latexbold>(A)</span> 88<spanclass=latexbold>(B)</span> 112<spanclass=latexbold>(C)</span> 116<spanclass=latexbold>(D)</span> 144<spanclass=latexbold>(E)</span> 154 <span class='latex-bold'>(A)</span>\ 88\qquad <span class='latex-bold'>(B)</span>\ 112\qquad <span class='latex-bold'>(C)</span>\ 116\qquad <span class='latex-bold'>(D)</span>\ 144\qquad <span class='latex-bold'>(E)</span>\ 154