{"status": "success", "data": {"description_md": "Positive real numbers $x$ and $y$ satisfy $y^3 = x^2$ and $(y-x)^2 = 4y^2$. What is $x+y$?\n\n$\\textbf{(A)}\\ 12 \\qquad \\textbf{(B)}\\ 18 \\qquad \\textbf{(C)}\\ 24 \\qquad \\textbf{(D)}\\ 36 \\qquad \\textbf{(E)}\\ 42$\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>Positive real numbers  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  satisfy  <span class=\"katex--inline\">y^3 = x^2</span>  and  <span class=\"katex--inline\">(y-x)^2 = 4y^2</span> . What is  <span class=\"katex--inline\">x+y</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 12 \\qquad \\textbf{(B)}\\ 18 \\qquad \\textbf{(C)}\\ 24 \\qquad \\textbf{(D)}\\ 36 \\qquad \\textbf{(E)}\\ 42</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": "2023 AMC 12A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc12A_p11", "prev": "/problem/23_amc12A_p09"}}