Solution:

Let's assume Somi's present age as S and Amit's present age as A.

Five years ago:
- Somi's age = S - 5
- Amit's age = A - 5

According to the given condition, "five years ago Somi's age at that time was 1/3rd of Amit's age at that time":

(S - 5) = 1/3(A - 5)

Simplifying the equation:
3(S - 5) = A - 5
3S - 15 = A - 5
3S = A + 10 ...........(1)

Ratio six years hence:
- Amit's age = A + 6
- Somi's age = S + 6

According to the given condition, "the respective ratio between Amit's age six years hence and Somi's age twelve years hence will be 7:4":

(A + 6) / (S + 12) = 7/4

Simplifying the equation:
4(A + 6) = 7(S + 12)
4A + 24 = 7S + 84
4A = 7S + 60 ...........(2)

To find Somi's age 3 years ago, we need to solve equations (1) and (2).

Solving equations (1) and (2):
3S = A + 10
4A = 7S + 60

Multiplying equation (1) by 4 and equation (2) by 3 to make the coefficients of A equal:
12S = 4A + 40
12A = 21S + 180

Now, let's eliminate A by multiplying equation (1) by 3 and equation (2) by 4:
9S = 3A + 30
16A = 28S + 240

Multiplying equation (1) by 16 and equation (2) by 9:
144S = 48A + 480
144A = 252S + 2160

Subtracting equation (3) from equation (4) to eliminate S:
144S - 144S = 48A - 252A + 480 - 2160
0 = -204A - 1680
204A = -1680
A = -8.23

Substituting the value of A in equation (1):
3S = -8.23 + 10
3S = 1.77
S = 0.59

Therefore, Somi's present age is approximately 0.59 years, which means she is less than a year old. Since it is not possible for Somi to be less than a year old 3 years ago, there might be an error in the given information or the question itself.

Somi present age is x+5 and and amit 3x+5