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Popular Word Problems >

the sum of 5 consecutive integers is 505. What is the third number in this sequence?

Solution

t h e s u m o f 5 co n sec u t i v e in t e g ers i s 505. 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 : 101

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

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 = 505

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 = 505 : x = 99

x + 1 = 99 + 1 = 100

x + 2 = 99 + 2 = 101

x + 3 = 99 + 3 = 102

x + 4 = 99 + 4 = 103

The number : 101

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