{"status": "success", "data": {"description_md": "Let $X$ and $Y$ be the following sums of arithmetic sequences:\n\n$$\n\\begin{aligned}\nX &= 10 + 12 + 14 + \\cdots + 100\\\\\nY &= 12 + 14 + 16 + \\cdots + 102.\n\\end{aligned}\n$$\n\nWhat is the value of $Y - X$?\n\n$\\textbf{(A)}\\ 92\\qquad\\textbf{(B)}\\ 98\\qquad\\textbf{(C)}\\ 100\\qquad\\textbf{(D)}\\ 102\\qquad\\textbf{(E)}\\ 112$", "description_html": "<p>Let <span class=\"katex--inline\">X</span> and <span class=\"katex--inline\">Y</span> be the following sums of arithmetic sequences:</p>&#10;<p><span class=\"katex--display\">&#10;\\begin{aligned}&#10;X &amp;= 10 + 12 + 14 + \\cdots + 100\\\\&#10;Y &amp;= 12 + 14 + 16 + \\cdots + 102.&#10;\\end{aligned}&#10;</span></p>&#10;<p>What is the value of <span class=\"katex--inline\">Y - X</span>?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ 92\\qquad\\textbf{(B)}\\ 98\\qquad\\textbf{(C)}\\ 100\\qquad\\textbf{(D)}\\ 102\\qquad\\textbf{(E)}\\ 112</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2011 AMC 10A Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10A_p05", "prev": "/problem/11_amc10A_p03"}}