{"status": "success", "data": {"description_md": "Joey and Chloe and their daughter Zoe all have the same birthday. Joey is $1$ year older than Chloe, and Zoe is exactly $1$ year old today. Today is the first of the $9$ birthdays on which Chloe's age will be an integral multiple of Zoe's age. What will be the sum of the two digits of Joey's age the next time his age is a multiple of Zoe's age?\n\n$\\textbf{(A) }7 \\qquad\n\\textbf{(B) }8 \\qquad\n\\textbf{(C) }9 \\qquad\n\\textbf{(D) }10 \\qquad\n\\textbf{(E) }11 \\qquad$", "description_html": "<p>Joey and Chloe and their daughter Zoe all have the same birthday. Joey is  <span class=\"katex--inline\">1</span>  year older than Chloe, and Zoe is exactly  <span class=\"katex--inline\">1</span>  year old today. Today is the first of the  <span class=\"katex--inline\">9</span>  birthdays on which Chloe&#8217;s age will be an integral multiple of Zoe&#8217;s age. What will be the sum of the two digits of Joey&#8217;s age the next time his age is a multiple of Zoe&#8217;s age?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }7 \\qquad\n\\textbf{(B) }8 \\qquad\n\\textbf{(C) }9 \\qquad\n\\textbf{(D) }10 \\qquad\n\\textbf{(E) }11 \\qquad</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": 3, "problem_name": "2018 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p20", "prev": "/problem/18_amc10B_p18"}}