Three consecutive integers add up to72. What are these integers?

Question

Three consecutive integers add up to72. What are these integers?

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Farah 4 years 2021-07-29T06:14:55+00:00 2 Answers 12 views 0

Answers ( )

    0
    2021-07-29T06:15:56+00:00

    Answer:

    23, 24, 25

    Step-by-step explanation:

    Let the smallest integer be x, the middle integer be x+1, and the largest integer be x+1+1.

    Total = smallest integer + middle integer + largest integer

            =  (x) + (x + 1) + (x + 1 + 1)

            = 3x + 3

    3x + 3 = 72

    Isolate 3x.

    3x = 72 – 3

    Evaluate.

    3x = 69

    Find x.

    x = 69 ÷ 3

    x = 23

    Now that you know the smallest integer, the middle integer would be 24, and the largest integer would be 25 since they are all consecutive integers.

    0
    2021-07-29T06:16:09+00:00

    n + (n + 1) + (n + 2) = 72

    23 + (24) + (25) = 72

    23 + 24 + 25 = 72

    72 = 72

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