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ivanzaharov [21]
3 years ago
5

bob and mark talk about their families. bob says he has 3 kids, the product of their ages is 72. Mark points out that there is s

till not enough information to accurately guess. Finally, bob says, "my youngest child called Justice." mark can then correctly determine the ages of bobs children. what are the ages?
Mathematics
1 answer:
Sonbull [250]3 years ago
8 0
Given:
3 kids
72 is the product of their ages.
There is a youngest child.

This means that all three are of different ages. We need to factor 72 into 3 integers.
Let us use prime factorization:

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
  9 ÷ 3 = 3

Prime factors are: 2 x 2 x 2 x 3 x 3    OR 2³ x 3²

3 ages.

eldest      = 3³ = 9
middle     = 2² = 4
youngest  = 2¹ = 2

2 x 4 = 8
8 x 9 = 72
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See the attachment for the markup.

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