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Australian AMC 2021 - Senior Question 21

AMC AUSTRALIA · Australian AMC 2021 - Senior

Question 21

Positive integers $x,y$ satisfy $x^2+2xy+2y^2+2y=1988$. What is the largest possible value of $x+y$?
  1. 33
  2. 38
  3. 42
  4. 46
  5. 47