8 times the difference between a number and 6 is equal to 4 times the number ...

A. 12

B. 4

C. 16

D. 48

The correct answer is option A. 12

Step-by-step explanation:

It is given that, 8 times the difference between a number and 6 is equal to 4 times the number.

To find the number

Let x be the number, then we can write,

8 * (x - 6) = 4x

8x - 48 = 4x

8x - 4x = 48

4x = 48

x = 48/4 = 12

Therefore the correct answer is option A. 12

(A) 12

Step-by-step explanation:

First, lets define the number as x.

"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8 (x - 6) = 4x"

8 (x - 6) = 4x

8x - 48 = 4x

4x = 48

x = 12