{"status": "success", "data": {"description_md": "For positive integers $m$ and $n$ such that $m+10<n+1$, both the mean and the median of the set $\\{m, m+4, m+10, n+1, n+2, 2n\\}$ are equal to $n$. What is $m+n$?\n\n$\\textbf{(A) }20\\qquad\\textbf{(B) }21\\qquad\\textbf{(C) }22\\qquad\\textbf{(D) }23\\qquad\\textbf{(E) }24$\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>For positive integers  <span class=\"katex--inline\">m</span>  and  <span class=\"katex--inline\">n</span>  such that  <span class=\"katex--inline\">m+10&lt;n+1</span> , both the mean and the median of the set  <span class=\"katex--inline\">\\{m, m+4, m+10, n+1, n+2, 2n\\}</span>  are equal to  <span class=\"katex--inline\">n</span> . What is  <span class=\"katex--inline\">m+n</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }20\\qquad\\textbf{(B) }21\\qquad\\textbf{(C) }22\\qquad\\textbf{(D) }23\\qquad\\textbf{(E) }24</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": 2, "problem_name": "2018 AMC 12A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc12A_p07", "prev": "/problem/18_amc12A_p05"}}