{"status": "success", "data": {"description_md": "The repeating decimals $0.abab\\overline{ab}$ and $0.abcabc\\overline{abc}$ satisfy<br>\n$$0.abab\\overline{ab}+0.abcabc\\overline{abc}=\\frac{33}{37}, $$ where $a,b$, and $c$ are (not necessarily distinct) digits. Find the three-digit number $abc$.\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>The repeating decimals <span class=\"katex--inline\">0.abab\\overline{ab}</span> and <span class=\"katex--inline\">0.abcabc\\overline{abc}</span> satisfy<br/><span class=\"katex--display\">0.abab\\overline{ab}+0.abcabc\\overline{abc}=\\frac{33}{37},</span><br/>where <span class=\"katex--inline\">a,b</span>, and <span class=\"katex--inline\">c</span> are (not necessarily distinct) digits. Find the three-digit number <span class=\"katex--inline\">abc</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": 3, "problem_name": "2014 AIME II Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/14_aime_II_p05", "prev": "/problem/14_aime_II_p03"}}