Latest Maths Olympiad Aptitude Question SOLUTION: Let a, b, c be three positive real numbers such that a + b + c = 1. Prove that among the three numbers a - ab, b - bc, c - ca there is one which is at most 1/4 and there is one whi

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(#M40021967) MATHS OLYMPIAD question ALGEBRA Keep an EYE

Let a, b, c be three positive real numbers such that a + b + c = 1. Prove that among the three numbers a - ab, b - bc, c - ca there is one which is at most 1/4 and there is one which is at least 2/9

Asked In Maths Olympiad MAN (10 years ago)

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