{"status": "success", "data": {"description_md": "Let $n$ denote the smallest positive integer that is divisible by both $4$ and $9,$ and whose base-$10$ representation consists of only $4$'s and $9$'s, with at least one of each. What are the last four digits of $n?$\n\n$\\textbf{(A) } 4444 \\qquad\\textbf{(B) } 4494 \\qquad\\textbf{(C) } 4944 \\qquad\\textbf{(D) } 9444 \\qquad\\textbf{(E) } 9944$", "description_html": "<p>Let  <span class=\"katex--inline\">n</span>  denote the smallest positive integer that is divisible by both  <span class=\"katex--inline\">4</span>  and  <span class=\"katex--inline\">9,</span>  and whose base- <span class=\"katex--inline\">10</span>  representation consists of only  <span class=\"katex--inline\">4</span> 's and  <span class=\"katex--inline\">9</span> 's, with at least one of each. What are the last four digits of  <span class=\"katex--inline\">n?</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 4444 \\qquad\\textbf{(B) } 4494 \\qquad\\textbf{(C) } 4944 \\qquad\\textbf{(D) } 9444 \\qquad\\textbf{(E) } 9944</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 10B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10B_p25", "prev": "/problem/07_amc10B_p23"}}