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Australian AMC 2019 - Upper Primary Question 28

AMC AUSTRALIA · Australian AMC 2019 - Upper Primary

Question 28

John is one year older than his wife Mary. They have three children, whose ages are two years apart. The product of John and Mary’s ages is less than 2019. The product of the three children’s ages is also less than 2019. Next year both these products will be greater than 2020. This year, what is the sum of all five ages?