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2005 AMC 10B Problem 24

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2005 AMC 10B Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 4 of 5 · about 6 min · position P21-25

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 x2−y2=m2x^2 - y^2 = m^2 for some positive integer mm . What is x+y+mx + y + m ?

  1. A)

    8888

  2. B)

    112112

  3. C)

    116116

  4. D)

    144144

  5. E)

    154154

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