Ankit is 30 years younger than his father. After 4 years Ankit's sister will be half the age of her father. The total of the present ages of Ankit and his sister is 67 years. What is the present age of Ankit's father?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 66 years.
Let the present age of Ankit, Ankit's father, and Ankit's sister age = a, b, and c years respectively
According to the question;
a = b - 30 -------- (1)
c + 4 = (b + 4)/2
b - 2c = 4 --------- (2)
a + c = 67 -------- (3)
Substituting the value of 'a' in equation 3;
b - 30 + c = 67
b + c = 97
Substituting the value of b in the above equation;
4 + 2c + c = 97
4 + 3c = 97
3c = 93
c = 31
Ankit's sister age = 31 years
Ankit's fathers' age = b + 31 = 97 = b = 66 years