# Problems on Ages ( 6 to 10 )

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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

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

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

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

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

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.