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Chapter 3: Q. 21 (page 315)

In the following exercises, solve each number word

The difference of twice a number and seven is 17. Find the number.

Short Answer

Expert verified

The number is 12.

Step by step solution

01

Step 1. Given Information  

We are given that the difference of twice a number and seven is 17.

We have to find the number.

02

Step 2. Forming the equation  

Let the number bex,

So, the equation will be,

2x-7=17

03

Step 3. Solving the equation  

Adding7 from both sides, we get

2x-7=172x=17+72x=24

Dividing by 2,

x=242x=12

Hence, the number is 12.

04

Step 4. Checking the solution 

Putting the value of xin the equation, we get

2x-7=172(12)-7=1724-7=1717=17LHS=RHS

Hence the solution is correct.

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