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11 February, 13:05

Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa?

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  1. 11 February, 16:39
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    P=paul's height

    s=steve's height

    t=theresa's height

    p=s

    1 and 1/2=3/2

    1 and 1/3=4/3

    p=-16 + (3/2) t

    s=-6 + (4/3) t

    p=s so

    -16 + (3/2) t=-6 + (4/3) t

    add 6 to both sides

    -10 + (3/2) t = (4/3) t

    times both sides by 6 to clear fractions

    -60+9t=8t

    minus 9t both sides

    -60=-t

    times - 1

    60=t

    t=60

    theresa is 60 inches or 5ft

    steve and paul are 84 inches or 7ft (wow!)
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