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IMC 2023 Grade 4 — ROUND 1 Question 14

IMC · IMC 2023 Grade 4 — ROUND 1

Question 14

On an island 26,000 people live and there is a custom that they only marry the inhabitants of the island, known that 2/3 of all men are married and 4/7 of all women are married. How many people on this island are married?

Mathematical model: the population is partitioned into the men and women counted in the question, with each married couple consisting of one man and one woman, each person in at most one such couple.