After reading you should realize that Caroline is the youngest. Therefore, we need to find Caroline's age, and NO-ONE else's.
Let Caroline’s age be C
Then Colin’s is: C + 3, and Paul’s is: C + 3 + 12 = C + 15
We then get: C + C + 3 + C + 15 = 87
3C = 69
C, or Caroline is:
That's IT!!