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Popular Word Problems >

The sum of five consecutive even integers is 120120. What is the largest integer?

Solution

T h e s u m o f f i v e co n sec u t i v e e v e n in t e g ers i s 120120. Wha t i s t h e l a r g es t in t e g er ?

Solution

The number : 24028

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 = 120120

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 120120 : x = 24020

x + 2 = 24020 + 2 = 24022

x + 4 = 24020 + 4 = 24024

x + 6 = 24020 + 6 = 24026

x + 8 = 24020 + 8 = 24028

The number : 24028

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