990 + 9999 is divisible by
3
9
11
7
990 and 9999 are both divisible by 99. Hence, their sum is also divisible by 99.
99 is divisible by 9 and 11. 9 is divisible by 3. Hence, the sum of 990 and 9999 is divisible by 9, 11 as well as 3.