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3 June, 12:31

One number is 4 less than 3 times a second number. If 3 more than two times the first number is decreased by two times the second, the result is 11. What are both numbers?

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  1. 3 June, 12:54
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    The 1st number is x and the 2nd number is y:

    x = 3y-4

    3 + 2x - 2y = 11

    The first equation says that x is equal to "3y - 4", so you can plug in "3y - 4" for x in the second equation:

    3 + 2 (3y - 4) - 2y = 11

    3 + 6y - 8 - 2y = 11

    -5 + 4y = 11

    4y = 16

    y = 4

    Now that you have y, you can plug it into the 1st equation to get x:

    x = 3y - 4

    x = 3 (4) - 4

    x = 12 - 4

    x = 8

    So, the 1st number is 8 and the 2nd number is 4.
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