/*! 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} Q27. Write an equation and solve each... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q27. (page 94)

Write an equation and solve each problem.

Find three consecutive odd integers with the sum of 141.

Short Answer

Expert verified

The required consecutive odd integers are 45, 47 and 49.

Step by step solution

01

Step 1. List the given data.

The sum of three consecutive odd integers is 141.

02

Step 2. Write the equation for the given problem.

Let xbe the first odd integer. Then, the three consecutive odd integers are x, role="math" localid="1642481353351" x+2and x+4.

Translating the given problem into equation form,

x+x+2+x+4=141

This is the required equation for the given problem.

03

Step 3. Solve the equation.

Solving,

x+x+2+x+4=141 (Obtained equation)

3x+6=141 (Simplify)

3x+6鈭�6=141鈭�6 (Subtract 6 from both sides)

3x=135 (Simplify)

3x3=1353 (Divide both sides by 3)

x=45 (Simplify)

So, x=45is the solution of the obtained equation.

04

Step 4. Interpret the obtained solution,

According to the assumption, xis the first of the three required consecutive odd integers which satisfy the given problem.

Thus, the required consecutive odd integers are 45, 47 and 49.

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 each equation. Check your solution. (Lesson 2-3)

12z+7=16鈭�35z

Translate each sentence into an equation.

Three times rless than 15 equals 6.

The table shows the percentage of households that have broadband Internet access and the average growth rates for two age groups. How long will it take for the percentages to be the same?

Source: Pew Internet B American Life Project

Solve each equation. Check your solution.

3m+4=鈭�11

Translate the following sentence into a formula:

鈥淐elsius temperature C is five ninths鈥� times the difference of the Fahrenheit temperature F and 32鈥�.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.