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Question

Sindhu is 40 years old and Smita is 20 years old. How many years ago was Sindhu three times as old as Smita?


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Solution

Let x years ago, Sindhu was three times as old as Smita,

So, x years ago

Sindhu's age was 40-x and Smita's age was 20-x.

Now, according to the given condition, we have

40-x=320-x40-x=60-3x40-x-60+3x=0-20+2x=02x=20x=202x=10

Hence, Smita was 3 times of Sindhu’s age before 10 years.


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