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Algebra Difficulty 2.0 Junior Find the answer

In 12 years, Janice will be 8 times as old as she was 2 years ago. How old is Janice now?

A number or a short expression. Spacing and $ signs are ignored.

Solution

Suppose that Janice is x x years old now. Two years ago, Janice was x2 x - 2 years old. In 12 years, Janice will be x+12 x + 12 years old. From the given information x+12=8(x2) x + 12 = 8(x - 2) and so x+12=8x16 x + 12 = 8x - 16 which gives 7x=28 7x = 28 and so x=4 x = 4 .

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