{"status": "success", "data": {"description_md": "How many four-digit integers $abcd$, with $a \\neq 0$, have the property that the three two-digit integers $ab<bc<cd$ form an increasing arithmetic sequence? One such number is $4692$, where $a=4$, $b=6$, $c=9$, and $d=2$.\n\n$\\textbf{(A)}\\ 9\\qquad\\textbf{(B)}\\ 15\\qquad\\textbf{(C)}\\ 16\\qquad\\textbf{(D)}\\ 17\\qquad\\textbf{(E)}\\ 20$", "description_html": "<p>How many four-digit integers  <span class=\"katex--inline\">abcd</span> , with  <span class=\"katex--inline\">a \\neq 0</span> , have the property that the three two-digit integers  <span class=\"katex--inline\">ab&lt;bc&lt;cd</span>  form an increasing arithmetic sequence? One such number is  <span class=\"katex--inline\">4692</span> , where  <span class=\"katex--inline\">a=4</span> ,  <span class=\"katex--inline\">b=6</span> ,  <span class=\"katex--inline\">c=9</span> , and  <span class=\"katex--inline\">d=2</span> .</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 9\\qquad\\textbf{(B)}\\ 15\\qquad\\textbf{(C)}\\ 16\\qquad\\textbf{(D)}\\ 17\\qquad\\textbf{(E)}\\ 20</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": "2016 AMC 10B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc10B_p25", "prev": "/problem/16_amc10B_p23"}}