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Chapter 3: Q. 26 (page 316)

In the following exercises, solve each number word problem.

One number is five more than the other. Their sum is 33. Find the numbers.

Short Answer

Expert verified

The number is 14and other number is 19.

Step by step solution

01

Step 1. Given Information  

We are given that one number is five more than the other and their sum is 33.

We have to find the numbers.

02

Step 2. Forming the equation  

Let one number be x,

The other number will be x+5,

So, the equation will be,

x+x+5=332x+5=33

03

Step 3. Solving the equation 

Subtracting 5from both sides, we get

2x+5=332x+5-5=33-52x=28

Dividing by 2,

x=282x=14

The other number will be 14+5=19,

Hence, the number is 14and other number is 19.

04

Step 4. Checking the solution  

Putting the value of xin the equation, we get

x+x+5=3314+14+5=3333=33LHS=RHS

Hence the solution is correct.

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