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Popular Word Problems >

The sum of 6 consecutive integers is 519 .What is the third number in this sequence?

Solution

T h e s u m o f 6 co n sec u t i v e in t e g ers i s 519 . Wha t i s t h e t hi r d n u mb er in t hi s se q u e n ce ?

Solution

The number : 86

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

Consecutive number 4 : x + 4

Consecutive number 5 : x + 5

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 519

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 519 : x = 84

x + 1 = 84 + 1 = 85

x + 2 = 84 + 2 = 86

x + 3 = 84 + 3 = 87

x + 4 = 84 + 4 = 88

x + 5 = 84 + 5 = 89

The number : 86

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