AMC 10B 2005 Problem 24

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

Answer Choices
A. 88
B. 112
C. 116
D. 144
E. 154