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Moe is 8 years older than Zach. If twenty years ago Moe was 3 times as old as Zach, what are their present ages.Moe: 32 Zach: 24Please include the steps taken to get the answer.

User Mcnarya
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1 Answer

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Answer:

Moe's present age = 32

Zach's present age = 24

Explanations:

Let Moe's present age be represented by m

Let Zach's present age be represented by z

Moe is 8 years older than Zach now

m = z + 8..........(1)

Twenty years ago, Moe's age would be m - 20

Twenty years ago, Zach's age would be z - 20

Twenty years ago, Moe's age was three times that of Zach

m - 20 = 3(z - 20)

m - 20 = 3z - 60

m = 3z - 60 + 20

m = 3z - 40..........(2)

Let equations (1) and (2) be equal to each other:

z + 8 = 3z - 40

3z - z = 8 + 40

2z = 48

z = 48 / 2

z = 24

Substitute the value of z into equation (1)

m = z + 8

m = 24 + 8

m = 32

Moe's present age = 32

Zach's present age = 24

User Thegio
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