8 times the difference between a number and 7 is equal to 4 times the number ...

A. 12

B. 4

C. 16

D. 48

14

Step-by-step explanation:

To answer this, we need to set up an equation. Let X represent this number. That would mean our equation would be (x-7) * 8=4x. We can use the distributive property to make our equation 8x-56=4x. Subtract 4x on both sides. 4x-56=0. Add 56 to both sides. 4x=56. Divide by 4 on both sides. x=14. This means our mystery number is 14. I know this isn't one of the answer choices but if you check 14 it works.

The correct answer is 14

Step-by-step explanation:

It is given that, 8 times the difference between a number and 7 is equal to 4 times the number.

To find the number

From the above data we can write,

Let x be the number then,

8 * (x - 7) = 4x

8x - 56 = 4x

8x - 4x = 56

4x = 56

x = 56/4 = 14

Therefore the number is 14