Algebra

Mimie is twelve years older than her brother Macky. Four years from now, Macky will be two-thirds as old as Mimie will be four years from now. How old are they now?

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  1. NOw:
    Macky --- x
    Mimie --- x+12

    4 years from now:
    Macky --- x+4
    Mimie --- x + 16

    x + 4 = (2/3)(x+16)
    times 3
    3x + 12 = 2(x+16)
    3x + 12 = 2x + 32
    x = 20

    Now, Macky is 20 and Mimie is 32

    check:
    4 years from now, Macky will be 24 and Mimie will be 36
    Is 24 equal to 2/3 of 36 ??
    YES

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    posted by Reiny

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