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MathNet 2025-part-01 — 187 problems (EN–VI) Question 48

Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)

Question 48

Find all triples $(x, y, z)$ of positive integers, such that
$$3 \cdot x! + 4 \cdot y! = 5 \cdot z!.$$