{"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 $a \\ge 1$ and $a + b + c \\le 7$. At the end of the trip, the odometer showed $cba$ miles. What is $a^2 + b^2 + c^2$ ?\n \n\n$\\textbf {(A) } 26 \\qquad \\textbf {(B) } 27 \\qquad \\textbf {(C) } 36 \\qquad \\textbf {(D) } 37 \\qquad \\textbf {(E) }41$", "description_html": "<p>Danica drove her new car on a trip for a whole number of hours, averaging  <span class=\"katex--inline\">55</span>  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 \\ge 1</span>  and  <span class=\"katex--inline\">a + b + c \\le 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>\n<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>\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": "2014 AMC 10B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10B_p15", "prev": "/problem/14_amc10B_p13"}}