{"status": "success", "data": {"description_md": "Let $X$ and $Y$ be the following sums of arithmetic sequences: $$\\begin{eqnarray*} X &=& 10 + 12 + 14 + \\cdots + 100, \\\\ Y &=& 12 + 14 + 16 + \\cdots + 102. \\end{eqnarray*}$$ What 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:  <span class=\"katex--display\">\\begin{eqnarray*} X &amp;=&amp; 10 + 12 + 14 + \\cdots + 100, \\\\ Y &amp;=&amp; 12 + 14 + 16 + \\cdots + 102. \\end{eqnarray*}</span>  What is the value of  <span class=\"katex--inline\">Y - X</span> ?</p>\n<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>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "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"}}