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Find four consecutive integers whose sum is 106

Solution

Find four consecutive integers whose sum is 106

Solution

The numbers : 25, 26, 27, 28

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

A.T.Q.:

x + x + 1 + x + 2 + x + 3 = 106

Solve

x + x + 1 + x + 2 + x + 3 = 106 : x = 25

x + 1 = 25 + 1 = 26

x + 2 = 25 + 2 = 27

x + 3 = 25 + 3 = 28

The numbers : 25, 26, 27, 28

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