Question

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

What is the number?
O
A.
12
OB. 4
16
D. 48

Answer 1

Option A. 12

Explanation:

Let the number be T

The difference between the number and 6 is written as: T — 6

4 times the number is written as: 4T

But we were told from the question, that 8 times the difference between the number and 6 is equal to 4 times the number. This is written as:

8(T — 6) = 4T

Clear the bracket

8T — 48 = 4T

Collect like terms

8T — 4T = 48

4T = 48

Divide both side by the coefficient of T i.e 4

T = 48/4

T = 12

Therefore the number is 12