Final answer:
The number in question is 21, which is found by solving the equation 8 * (x - 9) = 96.
Step-by-step explanation:
The question asks to find a number such that the product of 8 and the difference between this number and 9 is 96. Let's denote the unknown number as 'x'. To solve for x, we set up the equation 8 * (x - 9) = 96. We start by dividing both sides by 8, simplifying to x - 9 = 12. Then, we add 9 to both sides to get x = 21. Hence, the number we are looking for is 21.