{"status": "success", "data": {"description_md": "In the diagram, each of the five boxes is to contain a number. Each number in a shaded box must be the average of the number in the box to the left of it and the number in the box to the right of it. What is the value of $x$?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2010/crops/10_pascal_p21_fig.png\" alt=\"figure\" width=\"480\"></center>\n\n$\\text{(A)}\\ 28\\qquad\\text{(B)}\\ 30\\qquad\\text{(C)}\\ 31\\qquad\\text{(D)}\\ 32\\qquad\\text{(E)}\\ 34$\n\n___\n\n**[Pascal](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>In the diagram, each of the five boxes is to contain a number. Each number in a shaded box must be the average of the number in the box to the left of it and the number in the box to the right of it. What is the value of <span class=\"katex--inline\">x</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2010/crops/10_pascal_p21_fig.png\" alt=\"figure\" width=\"480\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 28\\qquad\\text{(B)}\\ 30\\qquad\\text{(C)}\\ 31\\qquad\\text{(D)}\\ 32\\qquad\\text{(E)}\\ 34</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</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": "2010 Pascal Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/10_pascal_p22", "prev": "/problem/10_pascal_p20"}}