Astronomy
Number Theory
Level
3
- 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. 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?
Source: 2007 AIME I.
The answer is 105.
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