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2023 AMC 12A Question 10

AMC12 · 2023 AMC 12A

Question 10

Positive real numbers $x$ and $y$ satisfy $y^3=x^2$ and $(y-x)^2=4y^2.$ What is $x+y?$
  1. $12$
  2. $18$
  3. $24$
  4. $36$
  5. $42$