The ages of seven children Abner, Belinda, Carl, Deirdre, Ethan, Francine and Gavin are 1, 2, 3, 4, 5, 6 and 7 years in some order. It is known that:
- Deirdre is precisely three times as old as Belinda.
- Carl is four years older than Ethan.
- Francine is older than Abner and Abner is older than Gavin.
- Combined ages of Abner and Gavin is greater than the age of Francine.
What are the ages of the seven children?