Let the age of Ram be 7x.

Therefore, Shivam’s age =9x

A.T.Q.

⇒

⇒ 49x – 84 = 45x - 60

⇒ 4x = 24

⇒ x = 6

Present age of Ram = 7x = 42 years

Present age of Shivam = 9x = 54 years

Required Ratio of ages after 12 years

 = 9 : 11.

Lets B Present age is x

A’s present age = 3 x years
B’s present age = x years
After 15 years,

∴ A’s present age = 15×3 = 45 years

Let the age of father and his two sons be x, y and z years.

According to question:

x = 3 (y +z) ……………. (1)

20 years hence,

Fathers age = (x + 20)

And age of his two sons will be (y + 20) and (z + 20) years

According to question:

(x+ 20) = (y + 20) + (z+ 20)

x + 20 = y + z + 40

x - (y + z) = 20 …………. (2)

putting the value of x in above equation (2):

we get

3 (y + z) – (y + z) = 20

2 (y + z) = 20

y + z = 10

putting the value of (y + z) in equation (1)

we get

x = 3 × 10 = 30 years

12 years ago, the age of the mother was three times the age of her son. Say, the age of the son was 'x', and the mother's age was '3x'.

At present: Mother's age is (3x+12) and the son’s age is (x+12)

After ten years: The mother's age will be (3x+12)+10 and the son’s age will be (x+12)+10

Given that, mother’s age is twice that of son after ten years.

(3x+12)+10 = 2[(x+12)+10]

(3x+22) = 2(x+22)

Solving the equation, we get x = 22

Ratio of Present ages = (3x+12) : (x+12) = 78 : 34 = 39 : 17

Then the age of Rahul was: 45−x

His age when the son was born should be equal to .

Let Age of Ravi and Mohan be 9x and 7x respectively.

Age ratio of Mohan and Ram = 5 : 7

Age of Ram  Age of Mohan =

Age ratio of Ram and Shyam

Age of Shyam  Age of Ram

A.T.Q.

⇒

⇒ 57x = 114

⇒ x = 2

So, Age of Mohan = 7x = 14

Given that,

Kalim’s age = Pavan’s age + 16

Pavan’s age = Kalim’s age – 16

A.T.Q.

Given that, Kalim’s age = 3 × Chhotu’s age

9 × Chhotu’s age – 36 = 5 × Chhotu’s age

Chhotu’s age = 9 years

Kalim’s age = 3 × 9 = 27 years

Pavan’s age = 27 – 16 = 11 years

So, Pavan 4 years hence age = 11 + 4

= 15 years.