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25 February, 06:15

three consecutive integers such that 3 times the sum of the first and second is one greater than 4 times the third.?

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  1. 25 February, 06:22
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    Remark

    I take it you want the integers to this problem.

    Givens

    The smallest integer = x - 1

    The middle integer = x

    The largest integer = x + 1

    Equation

    3 (x - 1 + x) = 4 (x + 1) + 1 Remove the brackets on both sides.

    3 (2x - 1) = 4x + 4 + 1

    6x - 3 = 4x + 5 Subtract 5 from both sides.

    -3 - 5 + 6x = 4x

    - 8 + 6x = 4x Subtract 6x from both sides

    - 8 = 4x - 6x

    - 8 = - 2x Divide by - 2

    -8/-2 = x

    x = 4

    Check

    smallest integer = 3

    middle integer = 4

    largest integer = 5

    3 (3 + 4) = 4 (5) + 1

    3 (7) = 4 (5) + 1

    21 = 20 + 1

    21 = 21 and it checks.

    Answer

    the smallest number is 3

    the middle number is 4

    The largest number = 5
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