{"status": "success", "data": {"description_md": "Let $x$ and $y$ be two-digit integers such that $y$ is obtained by reversing the digits\nof $x$. The integers $x$ and $y$ satisfy $x^2 - y^2 = m^2$ for some positive integer $m$.\nWhat is $x + y + m$?\n\n$\\mathrm{(A)} 88 \\qquad \\mathrm{(B)} 112 \\qquad \\mathrm{(C)} 116 \\qquad \\mathrm{(D)} 144 \\qquad \\mathrm{(E)} 154$", "description_html": "<p>Let  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  be two-digit integers such that  <span class=\"katex--inline\">y</span>  is obtained by reversing the digits<br/>\nof  <span class=\"katex--inline\">x</span> . The integers  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  satisfy  <span class=\"katex--inline\">x^2 - y^2 = m^2</span>  for some positive integer  <span class=\"katex--inline\">m</span> .<br/>\nWhat is  <span class=\"katex--inline\">x + y + m</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} 88 \\qquad \\mathrm{(B)} 112 \\qquad \\mathrm{(C)} 116 \\qquad \\mathrm{(D)} 144 \\qquad \\mathrm{(E)} 154</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2005 AMC 10B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p25", "prev": "/problem/05_amc10B_p23"}}