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MathNet 2015-part-05 — 191 problems (EN–VI) Question 1

Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)

Question 1

Four families have two children each and all eight children are born after the year 1989. All four youngest siblings are born in the same year, and the sum of the digits of the year is equal to the product of the non zero digits. The differences of the ages between the siblings of each family is a perfect square. Find the birth years of the four eldest siblings in each family, given that their ages are all different.