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Chapter 3: Q. 28 (page 316)

In the following exercises, solve each number word

The sum of two numbers is 27. One number is seven less than the other. Find the numbers.

Short Answer

Expert verified

The number is 17and the other number is 10.

Step by step solution

01

Step 1. Given Information  

We are given that one number is seven less than the other and their sum is 27.

We have to find the numbers.

02

Step 2. Forming the equation   

Let the number bex,

So, the other number will be x-7,

So, the equation will be,

x+x-7=272x-7=27

03

Step 3. Solving the equation  

Adding 7on both sides, we get

2x-7=272x=27+72x=34

Dividing by 2,

x=342x=17

The other number will be 17,

Hence, the number is 17and the other number is 17-7=10.

04

Step 4. Checking the solution   

Putting the value of xin the equation, we get

x+x-7=2717+17-7=2727=27LHS=RHS

Hence the solution is correct.

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