AT-OEMO-BEG 2013 Problem 3

Let $a$ and $b$ be real numbers with $0\le a, b\le 1$ . Prove that $\frac{a}{b + 1}+\frac{b}{a + 1}\le 1$ When does equality holds?

(K. Czakler, GRG 21, Vienna)

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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