Vaidev is 30 years older than his cousin. 5 years from now, his cousin will be ¹₂ of his age while his son will be ¹₃ of his cousin. Express his son’s present age as a fraction of Vaidev's present age. Leave your answer in its simplest form.

	Vaidev	Vaidev's cousin	Vaidev's son	Difference between Vaidev and Vaidev's cousin
Before	6 u - 5	3 u - 5	1 u - 5	30
Change	+ 5	+ 5	+ 5
After	2x3	1x3
		3x1	1x1
Comparing Vaidev, his cousin and his son in the end	6 u	3 u	1 u	3 u

The repeated identity is the age of Vaidev's cousin. LCM of 1 and 3 is 3.

The difference in age between Vaidev and Vaidev's cousin remains unchanged.

Difference in age between Vaidev and Vaidev's cousin
= 6 u - 3 u 
= 3 u 

3 u = 30

1 u = 30 ÷ 3 = 10

His son's present age 
= 1 u - 5
= 1 x 10 - 5
= 10 - 5
= 5

Vaidev's present age
= 6 u - 5
= 6 x 10 - 5
= 60 - 5
= 55

His son's present age as a fraction of Vaidev's present age
= ⁵₅₅
= ¹₁₁

Answer(s): ¹₁₁