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20 September, 12:02

The sum of 3 numbers is 64. The second number is 3 more than the first. The third number is 11 less than twice the first. Find the numbers

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  1. 20 September, 12:07
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    Three numbers can be defined as x, y, and z.

    x + y + z = 64

    y = x+3

    z = 2x - 11

    .

    substitute for y and z

    x + (x+3) + (2x-11) = 64

    4x - 8 = 64

    4x = 72

    x = 18

    .

    y = x+3 = 21

    z = 2x - 11 = 2 (18) - 11 = 36-11 = 25

    .

    x + y + z = 18 + 21 + 25 = 64

    Correct.

    .

    Answer: The three numbers are 18, 21, and 25.
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