/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 2.35 Find three consecutive even inte... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 2.35 (page 119)

Find three consecutive even integers whose sum is102.

Short Answer

Expert verified

Three consecutive even integers will be 32,34,36

Step by step solution

01

Step 1. Assume three consecutive even integers,

Let three consecutive integers are,

n,(n+2),(n+4).

02

Step 2. Form the first equation.

Statement given in the question states that, "Sum of the consecutive integers is 102"

Equation for the statement will be,

n+(n+2)+(n+4)=102

03

Step 3. Solve the equation by adding like terms,

(n+n+n)+(2+4)=1023n+6=102

04

Step 4. Isolate the variable on one side.

Subtract 6 from both the sides of the equation to isolate the variable.

(3n+6)-6=102-63n=96
05

Step 5. Divide the equation by3,

3n3=963

n=32

06

Step 6. Substitute the value of n to get the integers.

1stinteger=n=322ndinteger=n+2=343rdintreger=n+4=36

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve the given inequality, graph the solution on the number line, and write the solution in interval notation:

6x-3鈮�1and

5x-1>-6

Solve-1=12u+14u-23u

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

7v+42=113v+8-213v-1

For the equation 0.35x + 2.1 = 3.85, how do you clear the decimal ?

In the following exercises, find (a) the amount of the mark-up and (b) the list price.

Tom paid $0.60 a pound for tomatoes to sell at his produce store. He added a 33% mark-up. What price did he charge his customers for the tomatoes?`
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.