Chapter 3: Q. 29 (page 316)

In the following exercises, solve each number word
The sum of two numbers is $- 45$ . One number is nine more than the other. Find the numbers.

Short Answer

Expert verified

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

Step by step solution

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.

Step 2. Forming the equation

Let the number be x,

So, the other number will be $x + 9$ ,

So, the equation will be,

$x + (x + 9) = - 45 2 x + 9 = - 45$

Step 3. Solving the equation

Subtracting $9$ on both sides, we get

$2 x + 9 = - 45 2 x + 9 - 9 = - 45 - 9 2 x = - 54$

Dividing by $2$ ,

$x = \frac{- 54}{2} x = - 27$

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

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

Step 4. Checking the solution

Putting the value of xin the equation, we get

$x + x + 9 = - 45 - 27 - 27 + 9 = - 45 - 45 = - 45 L H S = R H S$

Hence the solution is correct.

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In the following exercises, solve each number word
The sum of two numbers is $- 45$ . One number is nine more than the other. Find the numbers.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Forming the equation

Step 3. Solving the equation

Step 4. Checking the solution

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Most popular questions from this chapter

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In the following exercises, solve each number wordThe sum of two numbers is −45. One number is nine more than the other. Find the numbers.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Forming the equation

Step 3. Solving the equation

Step 4. Checking the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Mechanics Maths

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each number word
The sum of two numbers is $- 45$ . One number is nine more than the other. Find the numbers.