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12 April, 22:28

Three consecutive integers are n, n + 1, and n + 2. Four time s the sun of the least and greatest integers is 12 less than three times the least integer. What is the least integer? (Answer is - 4 but I need to know how to do it)

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  1. 12 April, 22:47
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    4 times the sum of the least and greatest integers ⇒ 4 (n + n + 2) = 4n + 8

    12 less than three times the least integer ⇒ 3n - 12

    4n + 8 = 3n - 12

    4n - 3n + 8 = 3n - 3n - 12

    n + 8 - 8 = - 12 - 8

    n = - 20

    -20, - 19, - 18 are the integers and the least is - 20
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