{"status": "success", "data": {"description_md": "Let $\\clubsuit(x)$ denote the sum of the digits of the positive integer $x$. For example, $\\clubsuit(8) = 8$ and $\\clubsuit(123) = 1 + 2 + 3 = 6.$ For how many two-digit values of $x$ is $\\clubsuit(\\clubsuit(x)) = 3?$\n\n$\\text{(A) }3\\qquad\\text{(B) }4\\qquad\\text{(C) }6\\qquad\\text{(D) }9\\qquad\\text{(E) }10$\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>Let  <span class=\"katex--inline\">\\clubsuit(x)</span>  denote the sum of the digits of the positive integer  <span class=\"katex--inline\">x</span> . For example,  <span class=\"katex--inline\">\\clubsuit(8) = 8</span>  and  <span class=\"katex--inline\">\\clubsuit(123) = 1 + 2 + 3 = 6.</span>  For how many two-digit values of  <span class=\"katex--inline\">x</span>  is  <span class=\"katex--inline\">\\clubsuit(\\clubsuit(x)) = 3?</span> </p>&#10;<p> <span class=\"katex--inline\">\\text{(A) }3\\qquad\\text{(B) }4\\qquad\\text{(C) }6\\qquad\\text{(D) }9\\qquad\\text{(E) }10</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": "2003 AMC 12B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc12B_p09", "prev": "/problem/03_amc12B_p07"}}