Question: 6 -

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

28 years

18 years

24.5 years

16 years

Answer:

24.5 years

Solution:

Let Rahul's age be x years.

Then, Sachin's age = (x - 7) years.

	x - 7	=	7
	x		9

 9x - 63 = 7x

 2x = 63

 x = 31.5

Hence, Sachin's age =(x - 7) = 24.5 years.

Question: 7 -

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 ?

15 years

19 and half

21 years

12 years

Answer:

15 years

Solution:

Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,

4x + 6 = 26        4x = 20

x = 5.

 Deepak's age = 3x = 15 years.

Question: 8 -

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:

14 years

22 years

18 years

20 years

Answer:

22 years

Solution:

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.

Question: 9 -

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?

18 years

16 years

20 years

Cannot be determined

Answer:

16 years

Solution:

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

 10(6x + 10) = 11(5x + 10)

 5x = 10

 x = 2.

 Sagar's present age = (5x + 6) = 16 years.

Question: 10 -

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:

14 years

18 years

12 years

20 years

Answer:

20 years

Solution:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

 54 - x = 5x - 30

 6x = 84

 x = 14.

 Son's age after 6 years = (x+ 6) = 20 years..