Question

Question

Four times the difference of a number and 7 is 12. What is the number?(1 point)
Responses

10
10

-4
-4

16
16

20

Answer 1

To solve this problem, we can use algebra. Let's call the number we're trying to find "x".

The difference between a number (x) and 7 can be expressed as (x - 7).

Four times this difference can be written as 4(x - 7).

We are told that this expression is equal to 12, so we can set up the equation:

4(x - 7) = 12

Now, we can solve for x:

4x - 28 = 12

Adding 28 to both sides:

4x = 40

Dividing both sides by 4:

x = 10

Therefore, the number we're looking for is 10.