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forum.virtualchallengemeets.com • View topic - AIME I Problem 4 2007

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AIME I Problem 4 2007

American Mathematics Contest & American Invitational Mathematics Examination. See for more information
Note:USAMO/IMO-level questions need to go in the Olympiad section.
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AIME I Problem 4 2007

Postby zefuri » Mon Apr 09, 2007 9:40 pm

Three planets revolve about a star in coplanar circular orbits with the star at the center. All planets revolve in the same direction, each at a constant speed, and the periods of their orbits are 60, 84, and 140 years. The positions of the star and all three planets are currently collinear. They will next be collinear after n years. Find n.
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Re: AIME I Problem 4 2007

Postby Kurt » Mon Apr 09, 2007 11:26 pm

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Postby zefuri » Tue Apr 10, 2007 4:42 pm

LCM(60,80,140)/GCF(60,80,140)
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