Let $x$ and $y$ be two $2-$digit numbers such that $y$ is obtained by reversing the digits of $x$. Suppose they also satisfy $x^2-y^2=m^2$ for some positive integer $m$. The value of $x+y+m$ is

  • [KVPY 2014]
  • A

    $88$

  • B

    $112$

  • C

    $144$

  • D

    $154$

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  • [IIT 1987]