Question

When a certain number is subtracted from 10 and the result is multiplied by 2, the answer is 4. Find the number.

Answer 1

x = 8

Explanation:

The question is asking us to find the number, given that:

When a certain number is subtracted from 10 and the result is multiplied by 2, the answer is 4.

I will start by calling the certain number x.

Then, we're given that x is subtracted from 10.

We write this as 10 - x.

Then, the result is multiplied by 2:

2(10 - x)

The answer is 4, which means that this expression equals 4:

2(10 - x) = 4

`\rule{350}{1}`

`\large{\textbf{\textsf{Solving for x}}`

Use the distributive property & distribute 2:

20 - 2x = 4

Subtract 20 from each side:

-2x = 4 - 20

-2x = -16

Divide each side by -2:

x = 8

Therefore, x = 8.

`\rule{350}{1}`

Answer 2

2(10 - n) = 4

10 - n = 2

n = 8

The number is 8.