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3 December, 10:36

the sum of the least and the greatest of 3 consecutive integers is 60. What are the values of the 3 integers?

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  1. 3 December, 11:48
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    29, 30, 31

    consecutive integers have a difference of 1 between them

    let the 3 integers be n, n + 1, n + 2

    then n + n + 2 = 60

    2n + 2 = 60 (subtract 2 from both sides)

    2n = 58 (divide both sides by 2)

    n = 29 ← least integer

    thus the 3 integers are 29, 30, 31
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