naomitheunicorn naomitheunicorn

07-02-2018
Mathematics

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Right now, Jack is 10 times older than Jill. In 16 years, he will be twice her age. What are their two current ages?

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Аноним Аноним

07-02-2018

Let Jill be x years old
Jill = x
Jack = 10x

16 years later ...
Jill = x + 16
Jack = 10x + 16

Jack is twice as old as Jill ...
jack = 2 x Jill

10x + 16 = 2 (x + 16)
10x + 16 = 2x + 32
10x - 2x = 32 - 16
8x = 16
x = 2

Jill = 2 years old
Jack = 20 years old

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