Multiple choice

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. 55 years

  4. 45 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's present age be F. Gautam's age = 0.2(F-15) and Gaurav's age = 0.6(F-10). Their sum is 31, so 0.2(F-15) + 0.6(F-10) = 31. Solving: 0.2F - 3 + 0.6F - 6 = 31, so 0.8F - 9 = 31, giving 0.8F = 40 and F = 50. The father's present age is 50 years.

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