Chapter 3: Q. 19 (page 315)

In the following exercises, solve each number word
The sum of three times a number and eight is $23$ . Find the number.

Short Answer

Expert verified

The number is $5$ .

Step by step solution

Step 1. Given Information

We are given that the sum of three times a number and eight is $23$ .

We have to find the number.

Step 2. Forming the equation

Let the number bex,

So, the equation will be,

$3 x + 8 = 23$

Step 3. Solving the equation

Subtracting $8$ from both sides, we get

$3 x + 8 = 23 3 x = 23 - 8 3 x = 15$

Dividing by $3$ ,

$x = \frac{15}{3} x = 5$

Hence, the number is $5$ .

Step 4. Checking the solution

Putting the value of xin the equation, we get

$3 x + 8 = 23 3 (5) + 8 = 23 15 + 8 = 23 23 = 23 L H S = R H S$

Hence the solution is correct.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, solve each number word
The sum of three times a number and eight is $23$ . Find the number.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Forming the equation

Step 3. Solving the equation

Step 4. Checking the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Geometry

Discrete Mathematics

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each number wordThe sum of three times a number and eight is 23. Find the number.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Forming the equation

Step 3. Solving the equation

Step 4. Checking the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Geometry

Discrete Mathematics

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each number word
The sum of three times a number and eight is $23$ . Find the number.