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

Solución

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

Solución

The number : 24028

Pasos de solución

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

Resolver

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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