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.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 50 years.
Let the present age of father be x.
15 years ago father's age → x – 15
10 years ago father's age → x – 10
According to question:
Gautam’s present age → 20 % (x – 15) = (x – 15) ÷ 5
Gaurav's (brother of Gautam) present age → 60% (x – 10) = (3x – 30) ÷ 5
[(x – 15) ÷ 5 ] + [(3x – 30) ÷ 5] = 31
x – 15 + 3x – 30 = 31 × 5
4x – 45 = 155
4x = 155 + 45
x = 200 ÷ 4 = 50
Hence, the correct answer is 50 years.