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Chapter 3: Q. 22 (page 315)

In the following exercises, solve each number word

The difference of four times a number and seven is 21. Find the number.

Short Answer

Expert verified

The number is 7.

Step by step solution

01

Step 1. Given Information  

We are given that the difference of four times a number and seven is 21.

We have to find the number.

02

Step 2. Forming the equation  

Let the number bex,

So, the equation will be,

4x-7=21

03

Step 3. Solving the equation  

Adding 7from both sides, we get

4x-7=214x=21+74x=28

Dividing by 4,

x=284x=7

Hence, the number is 7.

04

Step 4. Checking the solution 

Putting the value of xin the equation, we get

4x-7=214(7)-7=2128-7=2121=21LHS=RHS

Hence the solution is correct.

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