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Thursday, September 9, 2010
31st British Mathematical Olympiad 1995 Problems
31st British Mathematical Olympiad 1995 Problems1. Find all positive integers a ≥ b ≥ c such that (1 + 1/a)(1 + 1/b)(1 + 1/c) = 2. 2. ABC is a triangle. D, E, F are the midpoints of BC, CA, AB. Show that ∠DAC = ∠ABE iff ∠AFC = ∠ADB.
