{"status": "success", "data": {"description_md": "When three positive integers are added in pairs, the resulting sums are 998, 1050 and 1234. What is the difference between the largest and smallest of the three original positive integers?\n\n$\\text{(A)}\\ 262\\qquad\\text{(B)}\\ 248\\qquad\\text{(C)}\\ 224\\qquad\\text{(D)}\\ 250\\qquad\\text{(E)}\\ 236$\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>When three positive integers are added in pairs, the resulting sums are 998, 1050 and 1234. What is the difference between the largest and smallest of the three original positive integers?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 262\\qquad\\text{(B)}\\ 248\\qquad\\text{(C)}\\ 224\\qquad\\text{(D)}\\ 250\\qquad\\text{(E)}\\ 236</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": 2, "problem_name": "2016 Cayley Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/16_cayley_p19", "prev": "/problem/16_cayley_p17"}}