RMO 2010 Problem 4
Find three distinct positive integers with the least possible sum such that the sum of the reciprocals of any two integers among them is an integral multiple of the reciprocal of the third integer.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Indian Regional Mathematical Olympiad 2010 official paper, page 3.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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