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3 June, 00:27

Ralph is 3 times as old as sarah. In 6 years, ralph will be only twice as old as sarah will be then. Find ralph's age now. If x represents sarah's age now, which of the following expressions represents ralph's age in six years?

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  1. 3 June, 00:52
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    X - S arah's age now

    3x - Ralph is 3 times as old as Sarah, now

    x+6 - Sarah's age in 6 years

    2 (x+6) = 2x+12 - R alph will be only twice as old as Sarah will be in 6 years

    Ralph's age in six year can be also written as 3x+6

    So

    Ralph's age now is 3x.

    Ralph's age in six years is 2x+12 and 3x+6.

    We can find age of Sara now,

    2x+12=3x+6

    3x-2x=12-6

    x=6,

    Ralph's age now is 3x=3*6=18

    Now Sara is 6 years old, Ralph is 18 years old.
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