{"status": "success", "data": {"description_md": "Danica drove her new car on a trip for a whole number of hours, averaging 55 miles per hour. At the beginning of the trip, $abc$ miles was displayed on the odometer, where $abc$ is a 3-digit number with $a \\geq{1}$ and $a+b+c \\leq{7}$. At the end of the trip, the odometer showed $cba$ miles. What is $a^2+b^2+c^2?$.\n\n$\\textbf{(A)}\\ 26\\qquad\\textbf{(B)}\\ 27\\qquad\\textbf{(C)}\\ 36\\qquad\\textbf{(D)}\\ 37\\qquad\\textbf{(E)}\\ 41$\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>Danica drove her new car on a trip for a whole number of hours, averaging 55 miles per hour. At the beginning of the trip,  <span class=\"katex--inline\">abc</span>  miles was displayed on the odometer, where  <span class=\"katex--inline\">abc</span>  is a 3-digit number with  <span class=\"katex--inline\">a \\geq{1}</span>  and  <span class=\"katex--inline\">a+b+c \\leq{7}</span> . At the end of the trip, the odometer showed  <span class=\"katex--inline\">cba</span>  miles. What is  <span class=\"katex--inline\">a^2+b^2+c^2?</span> .</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 26\\qquad\\textbf{(B)}\\ 27\\qquad\\textbf{(C)}\\ 36\\qquad\\textbf{(D)}\\ 37\\qquad\\textbf{(E)}\\ 41</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": 2, "problem_name": "2014 AMC 12B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12B_p11", "prev": "/problem/14_amc12B_p09"}}