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In a particular chess tournament, every contestant is supposed to play exactly one game against every other contestant. However, contestant A withdrew from the tournament after playing only ten games, and contestant B withdraw after just one game. A total of 55 games were played. Did A and B play each other? This problem comes from the U.K maths olympiad for girls in 2015. The Mathematical Olympiad for Girls is aimed at girls and young women across the UK and consists of five challenging problems. ----------------------------------------------------------------------------------------------------------------------------------------------------------------- Did you solve it? Let me know in the comments how you solved this problem. I’d love to hear about it! Follow me on Facebook at / ggmaths Follow me on Instagram at / gg_maths Test your friends and family to see if they're as quick as you. Challenge yourself to fun and interesting maths problems and start your journey as an olympiad. Maths videos by Giuliano Grasso - mathematics graduate from the University of East Anglia. I post weekly maths olympiad videos for you to try and solve. If you want to see more problems or send me your own, then subscribe here: / @ggmaths