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math

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James is 15 years older than Sue. In 12 years James will twice Sue's age. How old are James and Sue?

  • math -

    present:
    Sue ---- x
    James --- x+15

    in 12 years:
    Sue --- x+12
    James --- x+15 + 12 = x + 27

    james is twice as old as Sue
    x+27 = 2(x+12)
    x+27 = 2x + 24
    -x = -3
    x = 3

    Sue is now 3 and James is now 18

    check:
    in 12 years, Sue will be 15
    James will be 30
    Will he be twice as old as her ?? YES

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