Final answer:
Kiran is 40 years old and Rakesh is 16 years old.
Step-by-step explanation:
To solve this problem, we can set up a system of equations based on the given information.
Let's denote Kiran's current age as K and Rakesh's current age as R.
From the first statement, we can write the equation: K = R + 24.
From the second statement, we can write the equation: K - 10 = 5(R - 10).
Simplifying the second equation, we get: K - 10 = 5R - 50.
Substituting the value of K from the first equation into the second equation, we get: R + 24 - 10 = 5R - 50.
Simplifying this equation, we find: 4R = 64.
Dividing both sides by 4, we get: R = 16.
Substituting the value of R into the first equation, we find: K = 16 + 24 = 40.
Therefore, Kiran is 40 years old and Rakesh is 16 years old.