First find the common multiple, the number that is divisible by 9, 10, and 11.
This is 9*10*11 = 990
Next notice that by using factoring, we can subtract either 9,10,11 and the result will be divisible by that number.
This works for 10 as well as 9.
Therefore the 3 consecutive integers are:
990-11, 990-10, 990- 9
979, 980, 981