MathDB
4 kids and their mothers, hidden chocolate eggs game

Source: 2023 May Olympiad L2 p1

March 24, 2024
combinatoricsnumber theoryalgebra

Problem Statement

At Easter Day, 44 children and their mothers participated in a game in which they had to find hidden chocolate eggs. Augustine found 44 eggs, Bruno found 66, Carlos found 99 and Daniel found 1212. Mrs. Gómez found the same number of eggs as her son, Mrs. Junco found twice as many eggs as her son, Mrs. Messi found three times as many eggs as her son, and Mrs. Núñez found five times as many eggs as her son. At the end of the day, they put all the eggs in boxes, with 1818 eggs in each box, and only one egg was left over. Determine who the mother of each child is.