{"status": "success", "data": {"description_md": "Triangle $ABC$ lies in the Cartesian Plane and has an area of 70. The coordinates of $B$ and $C$ are $(12,19)$ and $(23,20)$, respectively, and the coordinates of $A$ are $(p,q)$. The line containing the median to side $BC$ has slope $-5$. Find the largest possible value of $p+q$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>Triangle <span class=\"katex--inline\">ABC</span> lies in the Cartesian Plane and has an area of 70. The coordinates of <span class=\"katex--inline\">B</span> and <span class=\"katex--inline\">C</span> are <span class=\"katex--inline\">(12,19)</span> and <span class=\"katex--inline\">(23,20)</span>, respectively, and the coordinates of <span class=\"katex--inline\">A</span> are <span class=\"katex--inline\">(p,q)</span>. The line containing the median to side <span class=\"katex--inline\">BC</span> has slope <span class=\"katex--inline\">-5</span>. Find the largest possible value of <span class=\"katex--inline\">p+q</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": "2005 AIME I Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/05_aime_I_p11", "prev": "/problem/05_aime_I_p09"}}