Quotient is the answer in a division. Let X = number.
Therefore, the equation would be X divided by 6 or X/6 to get the quotient.
Difference is the answer in a subtraction. Therefore, we must subract 8 from the quotient to have a difference of 9.
The equation must be:
X/6 - 8 = 9
To get X, -8 must be transferred to the other side and its sign will change into a positive sign.
X/6 = 9 + 8
X/6 = 17
To get X; 6 must be multiplied to 17
X = 17 * 6
Therefore, X = 102
To Check. Substitue X with the number 102 in the equation.
X/6 - 8 = 9
102/6 - 8 = 9
17 - 8 = 9
9 = 9 EQUAL.
The statement above is correct.