Task 745
Task 745: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $x$ and $y$ be positive real numbers such that \ \frac{1}{x + 2} + \frac{1}{y + 2} = \frac{1}{3}.\ Find the minimum value of $x + 2y.$
The task
Let $x$ and $y$ be positive real numbers such that \[\frac{1}{x + 2} + \frac{1}{y + 2} = \frac{1}{3}.\]Find the minimum value of $x + 2y.$