{"status": "success", "data": {"description_md": "The arithmetic mean of two distinct positive integers $x$ and $y$ is a two-digit integer. The geometric mean of $x$ and $y$ is obtained by reversing the digits of the arithmetic mean. What is $|x - y|$?\n\n$\\textbf{(A)}\\ 24 \\qquad \\textbf{(B)}\\ 48 \\qquad \\textbf{(C)}\\ 54 \\qquad \\textbf{(D)}\\ 66 \\qquad \\textbf{(E)}\\ 70$\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>The arithmetic mean of two distinct positive integers  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  is a two-digit integer. The geometric mean of  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  is obtained by reversing the digits of the arithmetic mean. What is  <span class=\"katex--inline\">|x - y|</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 24 \\qquad \\textbf{(B)}\\ 48 \\qquad \\textbf{(C)}\\ 54 \\qquad \\textbf{(D)}\\ 66 \\qquad \\textbf{(E)}\\ 70</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": 5, "problem_name": "2011 AMC 12B Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12B_p22", "prev": "/problem/11_amc12B_p20"}}