The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer

Question

The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer

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Harper 1 week 2021-11-19T17:18:06+00:00 1 Answer 0 views 0

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    2021-11-19T17:19:52+00:00

    Answer: 31

    Step-by-step explanation:

    Consecutive integers are integers that follow each other in order.

    Let the numbers be :

    x, x+1 , x + 2

    Then , their sum implies

    x + x + 1 + x + 2 = 90

    3x + 3 = 90

    subtract 3 from both sides

    3x = 90 - 3

    3x = 87

    divide through by 3

    x = 29

    Therefore : the numbers are

    29 , 30 , 31

    That is , the largest number is 31

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