olymmath

CMO 1986 Problem 2

  • Paper

A Mathlon is a competition in which there are MM athletic events. Such a competition was held in which only AA , BB , and CC participated. In each event p1p_1 points were awarded for first place, p2p_2 for second and p3p_3 for third, where p1>p2>p3>0p_1 > p_2 > p_3 > 0 and p1p_1 , p2p_2 , p3p_3 are integers. The final scores for AA was 22, for BB was 9 and for CC was also 9. BB won the 100 metres. What is the value of MM and who was second in the high jump?

Dataset text AI-MO AoPS. Quoted with source.

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