{"status": "success", "data": {"description_md": "The least common multiple of a positive integer $n$ and $18$ is $180$, and the greatest common divisor of $n$ and $45$ is $15$. What is the sum of the digits of $n$?\n\n$\\textbf{(A) } 3 \\qquad \\textbf{(B) } 6 \\qquad \\textbf{(C) } 8 \\qquad \\textbf{(D) } 9 \\qquad \\textbf{(E) } 12$", "description_html": "<p>The least common multiple of a positive integer  <span class=\"katex--inline\">n</span>  and  <span class=\"katex--inline\">18</span>  is  <span class=\"katex--inline\">180</span> , and the greatest common divisor of  <span class=\"katex--inline\">n</span>  and  <span class=\"katex--inline\">45</span>  is  <span class=\"katex--inline\">15</span> . What is the sum of the digits of  <span class=\"katex--inline\">n</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 3 \\qquad \\textbf{(B) } 6 \\qquad \\textbf{(C) } 8 \\qquad \\textbf{(D) } 9 \\qquad \\textbf{(E) } 12</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": "2022 AMC 10A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10A_p08", "prev": "/problem/22_amc10A_p06"}}