5. The teacher invited a group of children to sit around a round table. There were three times as many boys as girls. She walked around the table and observed pairs of children sitting next to each other. She found that the number of pairs where both children were of the same gender was twice the number of pairs where the children were of different genders. What is the minimum number of children sitting around the table?

## 53rd Mathematical Competition for High School Students in Slovenia

Selection Competition, April 1, 2009

## Problems for 4th Year