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MathNet 2021 — Part 08 Question 48

Math Olympiad Vault · MathNet 2021 — Part 08

Question 48

Numbers $x,y$ satisfy $(x+2y)^2-3y(y-1)=(2x+y)^2-3x(x+1)$. What is their sum $x+y$?
  1. $-100$
  2. $-1$
  3. $0$
  4. $1$
  5. It cannot be uniquely determined.