Julian is 20 years older than his cousin. 8 years from now, his cousin will be ¹₂ of his age while his daughter will be ³₅ of his cousin. Express his daughter’s present age as a fraction of Julian's present age. Leave your answer in its simplest form.

	Julian	Julian's cousin	Julian's daughter	Difference between Julian and Julian's cousin
Before	10 u - 8	5 u - 8	3 u - 8	20
Change	+ 8	+ 8	+ 8
After	2x5	1x5
		5x1	3x1
Comparing Julian, his cousin and his daughter in the end	10 u	5 u	3 u	5 u

The repeated identity is the age of Julian's cousin. LCM of 1 and 5 is 5.

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

Difference in age between Julian and Julian's cousin
= 10 u - 5 u 
= 5 u 

5 u = 20

1 u = 20 ÷ 5 = 4

His daughter's present age 
= 3 u - 8
= 3 x 4 - 8
= 12 - 8
= 4

Julian's present age
= 10 u - 8
= 10 x 4 - 8
= 40 - 8
= 32

His daughter's present age as a fraction of Julian's present age
= ⁴₃₂
= ¹₈

Answer(s): ¹₈