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22 March, 02:49

The larger of two numbers is 1 more than 3 times the smaller. the diffrence is between 8 time the smaller and 2 tmies the larger is 10 find the numbers

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  1. 22 March, 03:37
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    Let the two numbers be x and y, with y being larger than x.

    Then y=3x+1.

    Also, 8x-2y = 10.

    The first equation has already been solved for y. Substitute 3x+1 for y in the second equation:

    8x-2 (3x+1) = 10, or 8x - 6x - 2 = 10, or 2x = 12 and x = 6.

    If x = 6, then by the first equation y must be 3 (6) + 1, or 19.

    The numbers are 6 and 19.
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