{"status": "success", "data": {"description_md": "A list of 5 positive integers has all of the following properties:\n\n- the only integer in the list that occurs more than once is 8,\n- its median is 9, and\n- its average (mean) is 10.\n\nWhat is the largest possible integer that could appear in the list?\n(Note: The median of a set of five positive integers is the middle integer when the set is arranged in increasing order.)\n\n$\\text{(A)}\\ 15\\qquad\\text{(B)}\\ 16\\qquad\\text{(C)}\\ 17\\qquad\\text{(D)}\\ 24\\qquad\\text{(E)}\\ 25$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>A list of 5 positive integers has all of the following properties:</p>\n<p>- the only integer in the list that occurs more than once is 8,\n- its median is 9, and\n- its average (mean) is 10.</p>\n<p>What is the largest possible integer that could appear in the list?\n(Note: The median of a set of five positive integers is the middle integer when the set is arranged in increasing order.)</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 15\\qquad\\text{(B)}\\ 16\\qquad\\text{(C)}\\ 17\\qquad\\text{(D)}\\ 24\\qquad\\text{(E)}\\ 25</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2009 Cayley Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/09_cayley_p16", "prev": "/problem/09_cayley_p14"}}