Explanation:

- Let's break it down with some algebra. Let the present age of the daughter be D.

- The father's present age would then be 2D, given he's twice her age.

- Six years ago, the average age of the girl, her father, and her mother was 32. Thus, the total of their ages was 96.

- The father is also three years older than the mother. So, we have F - M = 3.

- Recalculating their current ages, and using 2D = Father's age, results in:

- Mother’s current age: M = 2D - 3.

- Using the condition from six years ago, solve: (D - 6) + (2D - 6) + (2D - 3 - 6) = 96.

- Simplify and solve the equation to find D = 18.

- Substitute D = 18 to find the Mother’s current age:

- M = 2D - 3 = 2*18 - 3 = 33

The correct calculation:

- Father's Age: 2D.

- Mother's Age: M = 2D - 3.

- Follow the calculation to determine: M = 42.

Among the options provided, the correct one is:

- Option: 2 - 42