# Nicole is now 18 years old and her friend Annie is 14 years old.How many years ago was Nicole twice as old as Annie?

1
by placi

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by placi

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Nicole: 18

Annie: 14

Let

Nicole: 18-x

Annie: 14 - x

18 -x = 2 (14 - x)

18-x = 28 - 2x

2x - x = 28 - 18

Ages 10 years ago: (substitute 10 for x)

Nicole: 18 - x ⇒ 18-10 = 8 years old

Annie: 14 - x ⇒ 14-10 = 4 years old

8 = 2(4)

8 = 8 (True)