{"status": "success", "data": {"description_md": "For how many ordered pairs of positive integers $(x,y),$ with $y<x\\le 100,$ are both $\\frac xy$ and $\\frac{x+1}{y+1}$ integers?\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>For how many ordered pairs of positive integers <span class=\"katex--inline\">(x,y),</span> with <span class=\"katex--inline\">y&lt;x\\le 100,</span> are both <span class=\"katex--inline\">\\frac xy</span> and <span class=\"katex--inline\">\\frac{x+1}{y+1}</span> integers?</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": 4, "problem_name": "1995 AIME Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/95_aime_p09", "prev": "/problem/95_aime_p07"}}