{"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 $m$.\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 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>.<br/>&#10;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</span></p>&#10;", "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"}}