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Problems on Ages ( 6 to 10 ):
APTITUDE QUESTIONS (PROBLEMS ON AGES):
6. The sum of ages of 4 children born at the intervals of 4 years each is 40 years. What is the age of the youngest child?
A) 4 years
B) 8 years
C) 10 years
D) 15 years
E) None of these
View Answer
Answer is A
Explanation:
Let the ages of children be x, (x + 4), (x + 8) and (x + 12) years.
Then, x + (x + 4) + (x + 8) + (x + 12) = 40
4x + 24 = 40
4x = 16
x = 4 years
∴ Age of the youngest child is 4 years.
7. X is three years older than Y who is thrice as old as Z. If the total of the ages of X, Y and Z be 31, then how old is Y?
A) 7
B) 8
C) 9
D) 12
E) None of these
View Answer
Answer is D
Explanation:
Let Z’s age be x years. Then, Y’s age = 3x years. X’s age = (3x + 3) years.
∴ (3x + 3) + 3x + x = 31
7x + 3 = 31
7x = 28
x = 4
Hence, Y’s age = 3x = 12 years
8. Present ages of Raj and Aamir are in the ratio of 4:3 respectively. Two years hence, the ratio of their ages will become 9 : 7 respectively. What is Aamir’s present age in years?
A) 12
B) 17
C) 20
D) 35
E) None of these
View Answer
Answer is
Explanation:
Let the present ages of Raj and Aamir be 4x and 3x years respectively.
Then, (4x+2) / (3x+2) = 9/7 = 9(3x + 2) = 7(4x + 2)
27x + 18 = 28x + 14
x = 4
Aamir’s present age = 3x = 12 years.
9. A man is 14 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) 12 years
B) 14 years
C) 20 years
D) 22 years
E) None of these
View Answer
Answer is B
Explanation:
Let the son’s present age be x years. Then, man’s present age = (x + 14) years.
∴ (x + 14) + 2 = 2(x + 2)
x + 16 = 2x + 2
x = 14
10. At present, the ratio between the ages of A and B is 4 : 3. After 5 years, A’s age will be 25 years. What is the age of B at present?
A) 18 years
B) 15 years
C) 19 years
D) 21 years
E) None of these
View Answer
Answer is B
Explanation:
Let us consider the present ages of X and B be 3x and 2x years respectively.
Then, 4x + 5 = 25 <=> 4x = 20
x = 5
∴ B’s age = 3x = 15 years.