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MathNet 2025 — Part 02 (100 complete bilingual questions) Question 79

Math Olympiad Vault · MathNet 2025 — Part 02 (100 complete bilingual questions)

Question 79

An online vote is being held between options $A$ and $B$. Before Paul voted, the percentage of votes for option $A$ was a positive integer. Paul's vote increased this number by exactly one. Prove that Paul's vote was the nineteenth vote for option $A$. (Josef Tkadlec)