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Kiran is 24 years older than Rakesh. 10 years back Kiran’s age was five times the age of Rakesh.Find their ages.?

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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.

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