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MathNet 2026 — Part 07 Question 63

Math Olympiad Vault · MathNet 2026 — Part 07

Question 63

Placed on a really long table are 2011 boxes each containing a number of balls. The 1st and the 2nd box together contain 15 balls, the 2nd and the 3rd box together contain 16 balls, the 3rd and the 4th box together contain 17 balls, and so on. If the first and the last box together contain a total of 1023 balls, how many balls are contained in the last box?