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Popular Word Problems >

The sum of 5 consecutive integers is 270 .What is the second 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 270 . Wha t i s t h e seco n d n u mb er in t hi s se q u e n ce ?

Solution

The number : 53

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 = 270

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 = 270 : x = 52

x + 1 = 52 + 1 = 53

x + 2 = 52 + 2 = 54

x + 3 = 52 + 3 = 55

x + 4 = 52 + 4 = 56

The number : 53

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