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MathNet 2009-part-04 — 175 problems (EN–VI) Question 50

Math Olympiad Vault · MathNet 2009-part-04 — 175 problems (EN–VI)

Question 50

A teacher invited a group of children to sit down at a round table. There were three times as many boys as there were girls. The teacher walked around the table and observed the pairs of children sitting next to each other. She noticed that the number of same-sex pairs was twice the number of boy-girl pairs. At least how many children were sitting at the table?