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Popular Word Problems >

The sum of 5 consecutive even integers is 110. What is the integer before the largest?

Solution

T h e s u m o f 5 co n sec u t i v e e v e n in t e g ers i s 110. Wha t i s t h e in t e g er b e f ore t h e l a r g es t ?

Solution

The number : 26

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 = 110

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 110 : x = 18

x + 2 = 18 + 2 = 20

x + 4 = 18 + 4 = 22

x + 6 = 18 + 6 = 24

x + 8 = 18 + 8 = 26

The number : 26

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