{"status": "success", "data": {"description_md": "Let $R=(8,6)$. The lines whose equations are $8y=15x$ and $10y=3x$ contain points $P$ and $Q$, respectively, such that $R$ is the midpoint of $\\overline{PQ}$. The length of $PQ$ equals $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.\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": "

Let R=(8,6). The lines whose equations are 8y=15x and 10y=3x contain points P and Q, respectively, such that R is the midpoint of \\overline{PQ}. The length of PQ equals \\frac{m}{n}, where m and n are relatively prime positive integers. Find m+n.

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2001 AIME II Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/01_aime_II_p05", "prev": "/problem/01_aime_II_p03"}}