MathDB

11.1

Part of 2021 Kyiv City MO Round 1

Problems(1)

Cossacks gossip

Source: Kyiv City MO 2021 Round 1, Problem 11.1

12/21/2023
NN cossacks split into 33 groups to discuss various issues with their friends. Cossack Taras moved from the first group to the second, cossack Andriy moved from the second to the third, and cossack Ostap - from the third group to the first. It turned out that the average height of the cossacks in the first group decreased by 88 cm, while in the second and third groups it increased by 55 cm and 88 cm, respectively.
What is NN, if it is known that there were 99 cossacks in the first group?
algebra