olymmath

RMO 2025 Problem 4

  • Non-KV and Non-JNV

Prove that there do not exist positive rational numbers xx and yy such that x+y+1x+1y=2025x+y+\frac{1}{x}+\frac{1}{y}= 2025

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2025 official paper, page 1.

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