Problems based on Ages

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Mohan was 7 years younger to Raman 5 years back. After 5 years, the ratio of ages of Mohan and Jill will be 3 : 4. The sum of ages of Mohan and Jill is 53 years. Find the current age of Raman.(in years)

Explanation:

Let the current age of Mohan be T years.
The sum of ages of Mohan and Jill is 53 years.
⇒ Age of Jill = (53 – T) years
After 5 years, the ratio of ages of Mohan and Jill will be 3 : 4.
⇒ T + 5 /53 - T + 5 = 3/4
⇒ 4T + 20 = 174 – 3T
⇒ T = 154 /7 = 22
So, Mohan is 22 years old.
Mohan was 7 years younger to Raman 5 years back.
Even now, Mohan would be 7 years younger to Raman.
∴ Current age of Raman = 29 years.

By: Amit Kumar

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