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MathNet 2026 — Part 09 Question 14

Math Olympiad Vault · MathNet 2026 — Part 09

Question 14

Bart has 17 and 19 dollar bills only.


a. Prove that these bills are fake.


b. Prove that there exists $m\gt 0$ such that for each $n \geq m$ Bart can give to Lisa exactly $n$ dollars using his bills.