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17 April, 08:27

The difference of two is 4. The larger is 8 less than twice the smaller. What are the two numbers?

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  1. 17 April, 08:39
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    {12, 16}

    Step-by-step explanation:

    The difference of two numbers (x and y) is 4. Thus, if y is the larger, then y - x = 4. Also, y = 2x - 8.

    So we need to solve the system of linear equations

    y - x = 4

    y = 2x - 8

    Subbing 2x - 8 for y, in the first equation, we get (2x - 8) - x = 4, or

    x - 8 = 4, and conclude that x = 12. Then, because y - x = 4, y must be 16.

    The numbers are 12 and 16.
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