Vaidev is 30 years older than his son. 3 years from now, his son will be ¹₃ of his age while his daughter will be ²₅ of his son. Express his daughter’s present age as a fraction of Vaidev's present age. Leave your answer in its simplest form.

	Vaidev	Vaidev's son	Vaidev's daughter	Difference between Vaidev and Vaidev's son
Before	15 u - 3	5 u - 3	2 u - 3	30
Change	+ 3	+ 3	+ 3
After	3x5	1x5
		5x1	2x1
Comparing Vaidev, his son and his daughter in the end	15 u	5 u	2 u	10 u

The repeated identity is the age of Vaidev's son. LCM of 1 and 5 is 5.

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

Difference in age between Vaidev and Vaidev's son
= 15 u - 5 u 
= 10 u 

10 u = 30

1 u = 30 ÷ 10 = 3

His daughter's present age 
= 2 u - 3
= 2 x 3 - 3
= 6 - 3
= 3

Vaidev's present age
= 15 u - 3
= 15 x 3 - 3
= 45 - 3
= 42

His daughter's present age as a fraction of Vaidev's present age
= ³₄₂
= ¹₁₄

Answer(s): ¹₁₄