olymmath

HMMT 2020 A2

  • Algebra and Number Theory
  • Answer

Find the unique pair of positive integers (a,b)(a, b) with a<ba<b for which

2020−aa⋅2020−bb=2\frac{2020-a}{a} \cdot \frac{2020-b}{b}=2

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

(505,1212)

Solutions

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

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/2020/a2 · Tag K5R639X8AQ · Edit this page on GitHub · Keys: j next, k previous