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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

01

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.

02

Step 2. Forming the equation  

Let the number bex,

So, the equation will be,

3x+8=23

03

Step 3. Solving the equation  

Subtracting 8from both sides, we get

3x+8=233x=23-83x=15

Dividing by 3,

x=153x=5

Hence, the number is 5.

04

Step 4. Checking the solution 

Putting the value of xin the equation, we get

3x+8=233(5)+8=2315+8=2323=23LHS=RHS

Hence the solution is correct.

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