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MathNet 2019-part-08 — 179 problems (EN–VI) Question 43

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 43

Find all ordered pairs $(a, b)$ of positive integers such that $2a + 1$ divides $3b - 1$ and $2b + 1$ divides $3a - 1$.