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MathNet 2026 — Part 01 Question 107

Math Olympiad Vault · MathNet 2026 — Part 01

Question 107

A prank - A game is played with four integers as follows: Add three of these numbers, divide this sum by $3$ and the result disappears with the fourth number. There are four ways to make this joke, getting the following results: $17$, $21$, $23$ and $29$. What is the biggest of the four numbers?