MathDB
2004 workers with salaries 2000 or 3000$ pesos

Source: Chile Finals 2004 L2 p1

October 3, 2022
number theorycombinatorics

Problem Statement

A company with 20042004 workers celebrated its anniversary by inviting everyone to a lunch served at a round table. When the 20042004 workers sat around this table, they formed a circle of people and soon discovered that they all had salaries. different and also that the difference between the salaries of any two neighbors, at the round table, was 20002000 or 30003000 pesos. Calculate the maximum difference that can exist between the wages of these workers.