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The present age of Noman thrice the present time of Shamim who is 20. How many years ago was the age of Noman five times that of shamim?

The present age of Noman thrice the present time of Shamim who is 20. How many years ago was the age of Noman five times that of shamim? Correct Answer 10

Lets say, Noman's age was five times of Shamim's age X years ago and their present ages are N and S respectivety. So,  N = 3S = 3×20 = 60 years. Now, five years ago, N - X = 5(S - X) or,  60 - X = 5(20 - X) or,  60 - X = 100 - 5X or,  5X - X = 100 - 60 or,  4X = 40 or,  X =  10 years

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