Solution :

Let us take Rahul's age as 'x' and his wife's age as 'y'.

Let Ajay's age be 'a' and his wife's age be 'b'.

Given:

Rahul is 5 years older than Ajay

x = 5 + a ---------> 1

Rahul's wife is 6 years younger than him

y = x - 6 -----------> 2

Ajay's wife is 1 year older than Rahul's wife

b = y + 1 ---------> 3

If we look at the three relationships we have a relation between x and y , x and a but not between x and b. By substituting eqn 2 in 1 we get the relation between x and b,

Substituting 2 in 1 ,

b = x - 6 + 1

b = x - 5 ----------> 4

For getting relation between y and a, substitute eqn 1 in 2

y = 5 + a - 6

y = a - 1 -----------> 5

For getting relation between a and b, substitute eqn 3 in 5

b - 1 = a - 1

a = b

So by this we can conclude that Ajay's age and Ajay's wife's age are the same .

The correct option is 2). Ajay's wife age and Ajay's age is same