College

We appreciate your visit to Seven times the sum of three consecutive even integers is 140 more than eleven times the middle integer Find the integers. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Seven times the sum of three consecutive even integers is 140 more than eleven times the middle integer. Find the integers.

Answer :

The integers are 12,14 and 16

How to determine the integers?

Consecutive even integers are represented as:

x, x + 2 and x + 4

So, the statement is represented as:

7 * (x + x + 2 + x +4) = 140 + 11 * (x + 2)

Evaluate the like terms

7 * (3x + 6) = 140 + 11 * (x + 2)

Open the brackets

21x + 42 = 140 + 11x + 22

Collect the like terms

21x -11x =

Evaluate

10x = 120

Divide by 10

x = 12

So, we have

x + 2 = 14

x + 4 = 16

Hence, the integers are 12,14 and 16

Read more about consecutive numbers at:

https://brainly.com/question/10853762

#SPJ1

Thanks for taking the time to read Seven times the sum of three consecutive even integers is 140 more than eleven times the middle integer Find the integers. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada