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10 July, 06:58

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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  1. 10 July, 09:38
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    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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