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Berey496
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Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum of the ages of his children. Mark points out that there is still not enough information to accurately guess. Finally, Bob says, "My youngest child called Justice." Mark can then correctly determine the ages of Bob's children. What are the ages?

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adityaananda124

Given: 3 kids product of their ages is 72 youngest is called Justice. Having a youngest means that all three children have different ages. We need to factor 72. It is better to use prime factorization. 72 ÷ 2 = 36 36 ÷ 2 = 18 18 ÷ 2 = 9   9 ÷ 3 = 3 2 x 2 x 2 x 3 x 3 = 72   Possible ages              Sum of the ages 2 x 4 x 9 = 72              2 + 4 + 9 = 15 4 x 6 x 3 = 72              4 + 6 + 3 = 13 1 x 8 x 9 = 72              1 + 8 + 9 = 18

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