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Chapter 3: Q. 29 (page 316)

In the following exercises, solve each number word

The sum of two numbers is 鈭�45. One number is nine more than the other. Find the numbers.

Short Answer

Expert verified

The number is -27and the other number is -18.

Step by step solution

01

Step 1. Given Information  

We are given that one number is nine more than the other and their sum is -45.

We have to find the numbers.

02

Step 2. Forming the equation   

Let the number be x,

So, the other number will be x+9,

So, the equation will be,

x+x+9=-452x+9=-45

03

Step 3. Solving the equation  

Subtracting9on both sides, we get

2x+9=-452x+9-9=-45-92x=-54

Dividing by 2,

x=-542x=-27

The other number will be -27+9=-18,

Hence, the number is -27and the other number is -18.

04

Step 4. Checking the solution   

Putting the value of xin the equation, we get

x+x+9=-45-27-27+9=-45-45=-45LHS=RHS

Hence the solution is correct.

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