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Chapter 3: Q. 24 (page 316)

In the following exercises, solve each number word problem.

Six times the sum of a number and eight is 30. Find the number.

Short Answer

Expert verified

The number is -3.

Step by step solution

01

Step 1. Given Information  

We are given that the six times the sum of a number and eight is 30.

We have to find the number.

02

Step 2. Forming the equation  

Let the number bex,

So, the equation will be,

6(x+8)=30

03

Step 3. Solving the equation 

Dividing by 6,

6(x+8)=306(x+8)6=306x+8=5

Subtracting 8from both sides, we get

x+8-8=5-8x=-3

Hence, the number is -3.

04

Step 4. Checking the solution  

Putting the value of xin the equation, we get

6x+8=306-3+8=3065=3030=30LHS=RHS

Hence the solution is correct.

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