Four friends came to the ice rink, each with their brother. They paired up and started skating. It turned out that in each pair, the "escort" was taller than the "lady," and no one was skating with their sister. The tallest in the group was Yura Vorobyov, followed by Andrey Egorov, then Lusya Egorova, Sergey Petrov, Olya Petrova, Dima Krymov, Inna Krymov, and Anya Vorobyeva. Determine who skated with whom?
Who does Lusya Egorova, the tallest among the girls, skate with?

## Solution

The tallest girl is Lusya Egorova, and according to the condition, she skates with a boy who is taller than her. There are two such boys, but one of them is her brother. Therefore, Lusya Egorova skates with Yura Vorobyov. Reasoning similarly, we establish that Olya Petrova skates with Andrey Egorov, Inna Krymova skates with Sergey Petrov, and Anya Vorobyeva skates with Dima Krymov.