## 18 Sep 2013

### OEMO Beginners 2013 Q3: Middle Secondary Mathematics Competition Questions

Let a and b be real numbers with 0 ≤ a, b ≤ 1.
Prove that

$\frac{a}{b+1}+\frac{b}{a+1}\leq&space;1$

and find the cases of equality.

[OEMO Beginners 2013 Q 3, by K. Czakler, Vienna]

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