PUZZLE 118 Mystifying Months

From left to right, we have person A, person B and person C.
Based on their comments, figure out each of their birth months:
A: 'C was born two months after me.'
B: 'A and I were born exactly six months apart.'
C: 'B was born in the month whose number is three times bigger than mine.'
Touch the box to give your answer in figures.
eg. 1 for January, 2 for Febrary, etc.

Hint 1

Let's look at C's comment first.
B was born in the month whose number is three times bigger than C.
So if C was born in month 5 (May), B would be born in month 15, which obviously doesn't exist.
looking at it like this, you can figure out when B and C could have been born.

Hint 2

Continuing on from hint one...
There are four possibilities of when B and C were born:
March (3) and January (1), June (6) and February (2), September (9) and March (3), or December (12) and April (4).
Next, we need to focus on what A said, and see how it might fit.

Hint 3

Continuing on from hint two...
Finally, let's look at B's comment and figure out which of the four possibilities could work if A and B were born six months apart.

Super Hint

The four possibilities, in ABC order, that come to light in hint two are:
1. Nobember, March, January (11, 3, 1)
2. December, June, February (12, 6, 2)
3. January, September, March (1, 9, 3)
4. February, December, April (2, 12, 4)
One of these is the correct answer.

Answer for 'Mystifying Months'

The answer is as follows.

A=12
B=6
C=2