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Chapter 3: Q. 27 (page 316)

In the following exercises, solve each number word problem.

The sum of two numbers is 20. One number is four less than the other. Find the numbers.

Short Answer

Expert verified

The number is 12and the other number is 8.

Step by step solution

01

Step 1. Given Information  

We are given that one number is four less than the other and theri sum is 20.

We have to find the numbers.

02

Step 2. Forming the equation  

Let the number be x,

So, the other number will be x-4,

So, the equation will be,

x+x-4=202x-4=20

03

Step 3. Solving the equation 

Adding 4from both sides, we get

2x-4=202x-4+4=20+42x=24

Dividing by 2,

x=242x=12

The other number will be 12-4=8,

Hence, the number is 12and the other number is 8.

04

Step 4. Checking the solution  

Putting the value of xin the equation, we get

x+x-4=2012+12-4=2020=20LHS=RHS

Hence the solution is correct.

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