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The sum of 4 consecutive integers is 130 .What is the third number in this sequence?

Solution

The sum of 4 consecutive integers is 130 .What is the third number in this sequence?

Solution

The number : 33

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 = 130

Solve

x + x + 1 + x + 2 + x + 3 = 130 : x = 31

x + 1 = 31 + 1 = 32

x + 2 = 31 + 2 = 33

x + 3 = 31 + 3 = 34

The number : 33

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