You should be able to, especially if they're students (and being students in a college might even help lower your taxes further but I assume you're talking high school). It didn't used to be that way but laws have changed. My father put down my sister and I, ages 19 and 21 respectively. I don't recall what the age cap is.
If you find a local accountant (or agency that does accounting) they could give you a lot more information.