{"status": "success", "data": {"description_md": "For each positive integer $n$, let $S(n)$ denote the sum of the digits of $n.$ For how many values of $n$ is $n + S(n) + S(S(n)) = 2007?$ \n\t\n\n$\\mathrm{(A)}\\ 1 \\qquad \\mathrm{(B)}\\ 2 \\qquad \\mathrm{(C)}\\ 3 \\qquad \\mathrm{(D)}\\ 4 \\qquad \\mathrm{(E)}\\ 5$", "description_html": "<p>For each positive integer  <span class=\"katex--inline\">n</span> , let  <span class=\"katex--inline\">S(n)</span>  denote the sum of the digits of  <span class=\"katex--inline\">n.</span>  For how many values of  <span class=\"katex--inline\">n</span>  is  <span class=\"katex--inline\">n + S(n) + S(S(n)) = 2007?</span> </p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 1 \\qquad \\mathrm{(B)}\\ 2 \\qquad \\mathrm{(C)}\\ 3 \\qquad \\mathrm{(D)}\\ 4 \\qquad \\mathrm{(E)}\\ 5</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": 4, "problem_name": "2007 AMC 10A Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/07_amc10A_p24"}}