AIME 2007a Problem 4
- Paper
- Answer
Three planets orbit a star circularly in the same plane. Each moves in the same direction and moves at constant speed. Their periods are 60, 84, and 140 years. The three planets and the star are currently collinear. What is the fewest number of years from now that they will all be collinear again?
Dataset text AIME 1983 to 2026. Quoted with source.
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105
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