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5 years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Sam and Nina now?

Solution

5 years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Sam and Nina now?

Solution

Nina^{'} s age is : 25

Sam^{'} s age is : 15

Solution steps

Translate the problem into an equation:

x - 5 = 2 (y - 5), x + 5 = 1.5 (y + 5)

x - 5 = 2 (y - 5), x + 5 = 1.5 (y + 5) : x = 25, y = 15

Nina^{'} s age is : 25

Sam^{'} s age is : 15

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