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7 August, 23:49

3 times the first of three consecutive odd integers is 3 more than twice the third? what is the third integer

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  1. 8 August, 03:35
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    15

    Step-by-step explanation:

    The difference between consecutive integers is 1.

    The difference between consecutive odd integers is 2.

    Let the smallest odd integer be x.

    Then the next greater one is x + 2. The greatest one is x + 4.

    "3 times the first" is 3x

    "twice the third" is 2 (x + 4)

    "3 times the first of three consecutive odd integers is 3 more than twice the third"

    3x = 2 (x + 4) + 3

    3x = 2x + 8 + 3

    x = 11

    The smallest integer is 11.

    x + 4 = 11 + 4 = 15

    The greatest one is 15.
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