{"status": "success", "data": {"description_md": "In the equation below, $A$ and $B$ are consecutive positive integers, and $A$, $B$, and $A+B$ represent number bases: $$132_A+43_B=69_{A+B}.$$<br>What is $A+B$?\n\n$\\textbf{(A)}\\ 9\\qquad\\textbf{(B)}\\ 11\\qquad\\textbf{(C)}\\ 13\\qquad\\textbf{(D)}\\ 15\\qquad\\textbf{(E)}\\ 17$\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>In the equation below,  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">B</span>  are consecutive positive integers, and  <span class=\"katex--inline\">A</span> ,  <span class=\"katex--inline\">B</span> , and  <span class=\"katex--inline\">A+B</span>  represent number bases:  <span class=\"katex--display\">132_A+43_B=69_{A+B}.</span> <br/>What is  <span class=\"katex--inline\">A+B</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 9\\qquad\\textbf{(B)}\\ 11\\qquad\\textbf{(C)}\\ 13\\qquad\\textbf{(D)}\\ 15\\qquad\\textbf{(E)}\\ 17</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": 3, "problem_name": "2012 AMC 12B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc12B_p12", "prev": "/problem/12_amc12B_p10"}}