Explanation:

Correct option:3

Solution:

Let the present age of the girl is 'x'

So, the age of the father six years ago was '2x'
The age of the girl six years ago was 'x - 6'
The father of a girl is three years older than his mother.
So, the mother's age was '2x -3'
The total age of the girl and her parents six years ago was 32 x 3 = 96 years
The total age of the girl and her parents six years ago was 2x + 2x - 3 + x - 6 = 96 years
5x = 96 + 9
5x = 105
x = 21
The age of mother six years ago was 2x - 3 = 2 x 21 - 3 = 39 years
The present age of mother will be 39 + 6 = 45 years