{"status": "success", "data": {"description_md": "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 $x+y+m$?\n\n$\\mathrm{(A)}\\ 88    \\qquad<br>\\mathrm{(B)}\\ 112   \\qquad<br>\\mathrm{(C)}\\ 116   \\qquad<br>\\mathrm{(D)}\\ 144   \\qquad<br>\\mathrm{(E)}\\ 154   \\qquad$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "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 of  <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> . What is  <span class=\"katex--inline\">x+y+m</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 88    \\qquad\\mathrm{(B)}\\ 112   \\qquad\\mathrm{(C)}\\ 116   \\qquad\\mathrm{(D)}\\ 144   \\qquad\\mathrm{(E)}\\ 154   \\qquad</span> </p>&#10;<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": 3, "problem_name": "2005 AMC 12B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p20", "prev": "/problem/05_amc12B_p18"}}