PAMO Problem 2: How many players in the tournament?
Source: 2018 Pan-African Mathematics Olympiad
July 3, 2018
combinatoricsratio
Problem Statement
A chess tournament is held with the participation of boys and girls. The girls are twice as many as boys. Each player plays against each other player exactly once. By the end of the tournament, there were no draws and the ratio of girl winnings to boy winnings was .How many players took part at the tournament?