14 wheels of cheese and a scale
Source: 2023 South Russian Girls MO - Assara Juniors p6
February 28, 2024
combinatorics
Problem Statement
Aunt Raya has wheels of cheese. She found out that out of any wheels, she could choose and put them on the scales so that the scales came into balance. Aunt Raya wants to give Daud Kazbekovich two of these wheels , and divide the rest equally (by weight) between Pavel and Kirill. Prove that she can make her wish come true.