{"status": "success", "data": {"description_md": "In triangle $ABC$, $AB=24$ and $\\angle C = 60^{\\circ}$. The largest value of $2AC+BC$ can be written as $a\\sqrt b$, where $a$ and $b$ are positive integers and $b$ is not divisible by the square of any prime. Find $a+b$.", "description_html": "<p>In triangle <span class=\"katex--inline\">ABC</span>, <span class=\"katex--inline\">AB=24</span> and <span class=\"katex--inline\">\\angle C = 60^{\\circ}</span>. The largest value of <span class=\"katex--inline\">2AC+BC</span> can be written as <span class=\"katex--inline\">a\\sqrt b</span>, where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are positive integers and <span class=\"katex--inline\">b</span> is not divisible by the square of any prime. Find <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 7, "problem_name": "TxO Math Bowl 2024 - Team Contest - Problem 25", "can_next": true, "can_prev": true, "nxt": "/problem/txo2024team-p26", "prev": "/problem/txo2024team-p24"}}