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15 June, 22:09

Find two positive numbers so that twice their sum equals their product and one number is 3 times the other number. Enter the smaller number first.

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  1. 15 June, 22:28
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    X and y

    2 (x+y) = xy

    x is 3 times y

    x=3y

    easy, sub 3y for x

    2 (3y+y) = (3y) y

    2 (4y) = 3y²

    8y=3y²

    divide both sides by y

    8=3y

    divdie both sides by 3

    8/3=y

    sub back

    x=3y

    x=3 (8/3)

    x=8

    the smaller number is 8/3

    larger is 8
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