{"status": "success", "data": {"description_md": "The product of two positive numbers is $9$. The reciprocal of one of these numbers is $4$ times the reciprocal of the other number. What is the sum of the two numbers?\n\n$\\textbf{(A)}\\ \\frac{10}{3}\\qquad\\textbf{(B)}\\ \\frac{20}{3}\\qquad\\textbf{(C)}\\ 7\\qquad\\textbf{(D)}\\ \\frac{15}{2}\\qquad\\textbf{(E)}\\ 8$", "description_html": "<p>The product of two positive numbers is  <span class=\"katex--inline\">9</span> . The reciprocal of one of these numbers is  <span class=\"katex--inline\">4</span>  times the reciprocal of the other number. What is the sum of the two numbers?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{10}{3}\\qquad\\textbf{(B)}\\ \\frac{20}{3}\\qquad\\textbf{(C)}\\ 7\\qquad\\textbf{(D)}\\ \\frac{15}{2}\\qquad\\textbf{(E)}\\ 8</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": 1, "problem_name": "2012 AMC 10A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10A_p07", "prev": "/problem/12_amc10A_p05"}}