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Gautam’s present age is equal to 20% of his father's age 15 years ago, and Gaurav's (brother of Gautam) present age is 60% of his father’s age 10 years ago. If the sum of Gautam’s present age and Gaurav’s present age is 31, then find their father’s present age.
1. 40 years
2. 50 years
3. 45 years
4. 55 years

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Correct Answer - Option 2 : 50 years

Let the father's present age be X years.

Father's age 15 years ago = (X - 15) years

Gautam's present age = 20% of (X - 15) = \({\\{(X - 15)} \over 5}\) years

Gaurav's present age = 60% of (X - 10) = \({\\{3(X - 10)} \over 5}\) years

\({\\{(X - 15)} \over 5}\) + \({\\{3(X - 10)} \over 5}\) = 31

X - 15 + 3X - 30 = 155

 4X - 45 = 155

4X = 200

X = 50 years

Fatehr's present age is 50 years.

Hence, "option 2" is the correct answer.

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