Find 4 consecutive integers with a sum of 106 Please show your work as to how you got your answer.

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We need to find 4 consecutive integers with a sum of 106. Let the integers be N, N + 1, N + 2 and N + 3.

The sum of the four integers is 106.

=> N + N + 1 + N + 2 + N + 3 = 106

=> 4N + 6 = 106

subtract 6 from both the sides

=> 4N = 100

divide both the sides by 4

=> N = 25

The required integers are 25, 26, 27 and 28

Approved by eNotes Editorial Team
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