The sum of three consecutive terms in arithmetic sequence is 30, and their product is 360. What are the three numbers?

Im having so much trouble.

Let the three consecutive numbers be x, x+1, and x+2

x + x + x + 3 = 30

3x + 3 = 30

3x = 27

divide both sides by three

x = 9

x, x+1, x+2 = 9, 10, 11

9*10*11 = 990

There is only one solution to the "three consecutive number is 30" part and the product of those numbers is not equal to 360. The problem is not possible.