/*! 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. 2.31 The sum of two numbers is negati... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 2.31 (page 97)

The sum of two numbers is negative twenty-three. One number is seven less than the other. Find the numbers.

Short Answer

Expert verified

Numbers will be(-8)and (-15).

Step by step solution

01

Step 1. Assume the number,

Let the first number is 'a'.

02

Step 2. Form the first equation.

Statement given, "Sum of two numbers is-23.

Equation for the statement will be,

1st Number + 2nd Number = -23

a+ 2nd Number = -23

Therefore, second number = -23-a

03

Step 3. Form the second equation.

Second statement given in the question states that, "One number is seven less than the other number ".

Equation for the statement will be,

(-23-a)=(a)-7

04

Step 4. Solve the equation,

(-23-a)+7=(a-7)+7(Add 7 to both sides of the equation)

-16-a=a

(-16-a)+a=a+a(Isolate variable 'a'on the right side of the equation)

2a=-16

05

Step 5. Divide both the sides by 2,

a=-8

06

Step 6. Substitute the value of'a' to get the numbers.

1st number =-8

2nd number = role="math" localid="1644180898519" -23-(-8)=-15

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

The length of the rectangle is 1.1 meters less than the width. The perimeter of a rectangle is 49.4 meters. Find the dimensions of the rectangle.

In the following exercises, find (a) the amount of discount and (b) the discount rate (Round to the nearest tenth of a percent if

needed.)

Hiroshi bought a lawnmower at the sale price of \(240. The original price of the lawnmower is \)300.

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

23z+19=35z-9+8z+46

Solve the formulaA=P+Prtforr.

If an equation has fractions only on one side, why do you have to multiply both sides of the equation by the LCD
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

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.