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Chapter 3: Q. 23 (page 315)

In the following exercises, solve each number word

Three times the sum of a number and nine is 12. Find the number.

Short Answer

Expert verified

The number is -5.

Step by step solution

01

Step 1. Given Information  

We are given that three times the sum of a number and nine is 12.

We have to find the number.

02

Step 2. Forming the equation  

Let the number bex,

So, the equation will be,

3(x+9)=12

03

Step 3. Solving the equation  

Dividin by 3, we get

3(x+9)=123(x+9)3=123x+9=4

Subtracting 9from both sides, we get

x+9-9=4-9x=-5

Hence, the number is -5.

04

Step 4. Checking the solution 

Putting the value of xin the equation, we get

3(x+9)=123(-5+9)=123(4)=1212=12LHS=RHS

Hence the solution is correct.

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