JBMO 2000 Problem 1

Let $x$ and $y$ be positive reals such that $x^3 + y^3 + (x + y)^3 + 30xy = 2000.$ Show that $x + y = 10$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.