If the ratio of the ages of Shweta and Veena was 5:6 six years ago and it will become 10:11 in 4 years from now,then find the present age of Veena.

Let's denote the present ages of Shweta and Veena as S and V respectively.

According to the problem, six years ago, the ratio of their ages was 5:6. So, we can write this as:

(S - 6) / (V - 6) = 5/6

And four years from now, the ratio of their ages will be 10:11. So, we can write this as:

(S + 4) / (V + 4) = 10/11

Now we have a system of two equations. We can solve this system to find the values of S and V.

Let's multiply the first equation by 6 and the second equation by 11 to make the denominators equal:

6*(S - 6) = 5*(V - 6) 11*(S + 4) = 10*(V + 4)

This simplifies to:

6S - 36 = 5V - 30 11S + 44 = 10V + 40

Rearranging the terms gives us:

6S - 5V = 6 11S - 10V = -4

Now we can solve this system of equations using any method (substitution, elimination, etc.).

Multiplying the first equation by 10 and the second by 5 gives:

60S - 50V = 60 55S - 50V = -20

Subtracting the second equation from the first gives:

5S = 80

So, S = 80 / 5 = 16.

Substituting S = 16 into the first equation gives:

6*16 - 5V = 6 96 - 5V = 6 5V = 90 V = 90 / 5 = 18

So, the present age of Veena is 18 years.