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Chapter 3: Q. 20 (page 315)

In the following exercises, solve each number word

The sum of twice a number and six is 14. Find the number.

Short Answer

Expert verified

The number is 4.

Step by step solution

01

Step 1. Given Information  

We are given that the sum of twice a number and six is 14.

We have to find the number.

02

Step 2. Forming the equation  

Let the number bex,

So, the equation will be,

2x+6=14

03

Step 3. Solving the equation  

Subtracting 6from both sides, we get

role="math" 2x+6=142x=14-62x=8

Dividing by 2,

x=82x=4

Hence, the number is 4.

04

Step 4. Checking the solution 

Putting the value of xin the equation, we get

2x+6=142(4)+6=148+6=1414=14LHS=RHS

Hence the solution is correct.

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