Aptitude - Problems on Ages
Overview Exercise "Nothing is impossible to a willing heart."
- (Proverb)
6.
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A. 14 years B. 18 years C. 20 years D. 22 years
Answer: B
Explanation:
Let the son's present age be x years. Then, man's present age = (x + 24) years.
x + 24) + 2 = 2(x + 2)
x + 26 = 2x + 4
x = 22.
7.
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
A. 16 years B. 18 years C. 20 years D. Cannot be determined E. None of these
Answer: E
Explanation:
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then,
(6x + 6) + 4
=
11
(5x + 6) + 4
10
x + 10) = 11(5x + 10)
x = 10
x = 2.
x + 6) = 16 years.
8.
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
A. 12 years B. 14 years C. 18 years D. 20 years
Answer: C
Explanation:
Let the present ages of son and father be x and (60 -x ) years respectively.
Then, (60 - x ) - 6 = 5(x - 6)
x = 5x - 30
x = 84
x = 14.
x + 6) = 20 years..
9.
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
A. 12 years B. 15 years C. 19 and half D. 21 years
Answer: C
Explanation:
Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,
4x + 6 = 26 x = 20
x = 5.
x = 15 years.
10.
Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
A. 16 years B. 18 years C. 28 years D. 24.5 years E. None of these
Answer: C
Explanation:
Let Rahul's age be x years.
Then, Sachin's age = (x - 7) years.
x - 7=
7
x 9
x - 63 = 7x
x = 63
x = 31.5
Hence, Sachin's age =(x - 7) = 24.5 years.
(x + 24) + 2 = 2(x + 2)
x + 26 = 2x + 4
4x = 20