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?

(In reply to

No Subject by Charlie)

My solution is the same as Charlie's, except there are three possibilities at the 2nd stage, not just 2

1 B

2 B

3 D

4

5

6 D

7

1 B E

2 E B B

3 D E

4

5 C

6 C D D

7 C

1 B E G

2 E B B

3 D G E

4 G A A

5 A C F

6 C D D

7 F F C

G+A 9 7 5

Left Hand column is correct, as G+A > F