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AMO 2023 – Secondary 2 (Grade 8) Question 1

AMO · AMO 2023 – Secondary 2 (Grade 8)

Question 1

$M,N$ are positive integers satisfying $M^2+16^2=N^2+2023^2$. What is $M+N$?

Clarification: the equation alone does not determine a unique sum. Select the only listed value that can be $M+N$.

Question illustration
  1. 2022
  2. 2024
  3. 2035
  4. 2039