Deductions & credits

Ok, just to be clear that I understand this correctly.

 

Twins turned 19 in April.  Graduated High School in May.  According to the school they were considered full time students until May 23.

 

One twin made $5,300 and moved out in September.

One twin made $22,000 and moved out in November.

 

We supported them both the entire time they lived with us. 

 

If I understand correctly, we CAN claim them as dependents on our taxes but they also have to file their own taxes as well.  Is this correct?

 

Thank you for any help you can give!  It is greatly appreciated.