{"status": "success", "data": {"description_md": "A positive integer $n$ satisfies the equation $(n+1)!+(n+2)!=440\\cdot n!$. What is the sum of the digits of $n$?\n\n$\\textbf{(A) } 2 \\qquad \\textbf{(B) } 5 \\qquad \\textbf{(C) } 10\\qquad \\textbf{(D) } 12 \\qquad \\textbf{(E) } 15$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A positive integer  <span class=\"katex--inline\">n</span>  satisfies the equation  <span class=\"katex--inline\">(n+1)!+(n+2)!=440\\cdot n!</span> . What is the sum of the digits of  <span class=\"katex--inline\">n</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 2 \\qquad \\textbf{(B) } 5 \\qquad \\textbf{(C) } 10\\qquad \\textbf{(D) } 12 \\qquad \\textbf{(E) } 15</span> </p>&#10;<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": 2, "problem_name": "2019 AMC 12B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc12B_p05", "prev": "/problem/19_amc12B_p03"}}