How many positive three-digit integers are divisible by both 3 and 4?

A. 75
B. 128
C. 150
D. 225
E. 300
[spoiler]
OA: 75. I solved this by the following way.
Smallest 3 digit number: 100
Biggest 3 digit number: 999
Total number of 3 digit numbers: 999-100 + 1= 900
Total number of integers divisible by 12 = 900/12 = 75.
Can you confirm if this method is correct? [/spoiler]