Present age of Anil and Rajesh are in the ratio of 11:6 respectively. 9 years ago, their ages were in the ratio of 7:3. If Pankaj's present age is
4
1
​
of Anil's present age, then what is Pankaj's present age (in years)?

Let the present age of Anil be 11x and the present age of Rajesh be 6x.
According to the question, 9 years ago, the ratio of their ages was 7:3:

6x−9
11x−9
​
=
3
7
​

Cross-multiplying to solve for x:

3(11x−9)=7(6x−9)
33x−27=42x−63
42x−33x=63−27
9x=36
x=4
Now, we calculate Anil's present age:

Anil’s present age=11x=11×4=44 years
Given that Pankaj's present age is
4
1
​
of Anil's present age:

Pankaj’s present age=
4
1
​
×44=11 years