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:

Let the ages of father and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

⟹ 3x + 20 = 2x + 40

⟹ x = 20.

∴ Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

Let the present ages of Sameer and Anand be 5x years and 4x years respectively.

Then,	5x + 3	=	11
	4x + 3		9

⟹ 9(5x + 3) = 11(4x + 3)

⟹ 45x + 27 = 44x + 33

⟹ 45x - 44x = 33 - 27

⟹ x = 6.

∴ Anand's present age = 4x = 24 years.

Given that:

1. The difference of age b/w R and Q = The difference of age b/w Q and T.

2. Sum of age of R and T is 50 i.e. (R + T) = 50.

Question: R - Q = ?.

Explanation:

R - Q = Q - T

(R + T) = 2Q

Now given that, (R + T) = 50

So, 50 = 2Q and therefore Q = 25.

Question is (R - Q) = ?

Here we know the value(age) of Q (25), but we don't know the age of R.

Therefore, (R-Q) cannot be determined.

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.

Let the mother's present age be x years.

Then, the person's present age =	❨	2	x	❩	years.
		5

∴	❨	2	x + 8	❩	=	1	(x + 8)
		5				2

⟹ 2(2x + 40) = 5(x + 8)

⟹ x = 40.

Let the son's present age be x years. Then, (38 - x) = x

⟹ 2x = 38.

⟹ x = 19.

∴ Son's age 5 years back (19 - 5) = 14 years.

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.

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.

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

⟹ 5x = 20

⟹ x = 4.

∴ Age of the youngest child = x = 4 years.

Let their present ages be 4x, 7x and 9x years respectively.

Then, (4x - 8) + (7x - 8) + (9x - 8) = 56

⟹ 20x = 80

⟹ x = 4.

∴ Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.