Ethan is 20 years older than his cousin. 2 years from now, his cousin will be ¹₃ of his age while his nephew will be ³₅ of his cousin. Express his nephew’s present age as a fraction of Ethan's present age. Leave your answer in its simplest form.

	Ethan	Ethan's cousin	Ethan's nephew	Difference between Ethan and Ethan's cousin
Before	15 u - 2	5 u - 2	3 u - 2	20
Change	+ 2	+ 2	+ 2
After	3x5	1x5
		5x1	3x1
Comparing Ethan, his cousin and his nephew in the end	15 u	5 u	3 u	10 u

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

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

Difference in age between Ethan and Ethan's cousin
= 15 u - 5 u 
= 10 u 

10 u = 20

1 u = 20 ÷ 10 = 2

His nephew's present age 
= 3 u - 2
= 3 x 2 - 2
= 6 - 2
= 4

Ethan's present age
= 15 u - 2
= 15 x 2 - 2
= 30 - 2
= 28

His nephew's present age as a fraction of Ethan's present age
= ⁴₂₈
= ¹₇

Answer(s): ¹₇