1st Mexican Mathematical Olympiad Problems 1987

1st Mexican Mathematical Olympiad Problems 1987A1.  a/b and c/d are positive fractions in their lowest terms such that a/b + c/d = 1. Show that b = d. A2.  How many positive integers divide 20! ? A3.  L and L' are parallel lines and P is a point midway between them. The variable point A lies L, and A' lies on L' so that ∠APA' = 90o. X is the foot of the

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