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In 6 years, Tina will be twice as old as Amy. Two years ago, Amy was one third the age of Tina. How old are then, now?

Solution

In 6 years, Tina will be twice as old as Amy. Two years ago, Amy was one third the age of Tina. How old are then, now?

Solution

Tina^{'} s age is : 26

Amy^{'} s age is : 10

Solution steps

Translate the problem into an equation:

y - 2 = \frac{1}{3} (x - 2), x + 6 = 2 (y + 6)

y - 2 = \frac{1}{3} (x - 2), x + 6 = 2 (y + 6) : x = 26, y = 10

Tina^{'} s age is : 26

Amy^{'} s age is : 10

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