Welcome Zordonia, great first post.
The factorizations of 36: (36,1,1), (18,2,1), (9,4,1),(9,2,2), (6,6,1), (6,3,2), (4,3,3).
All these add to distinct sums except 9+2+2 = 6+6+1 = 13.
That must be the first 2 digits of the license plate.
I will leave it to others to come up with the ages. (Think twins)