AMC 10 Step by Step
2005 AMC 10BProblem 24P21-25~6 minPrint

Let xx and yy be two-digit integers such that yy is obtained by reversing the digits of xx . The integers xx and yy satisfy x2y2=m2x^2 - y^2 = m^2 for some positive integer mm . What is x+y+mx + y + m ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.