Jeremy is 20 years older than his nephew. 2 years from now, his nephew will be ¹₂ of his age while his cousin will be ¹₂ of his nephew. Express his cousin’s present age as a fraction of Jeremy's present age. Leave your answer in its simplest form.

	Jeremy	Jeremy's nephew	Jeremy's cousin	Difference between Jeremy and Jeremy's nephew
Before	4 u - 2	2 u - 2	1 u - 2	20
Change	+ 2	+ 2	+ 2
After	2x2	1x2
		2x1	1x1
Comparing Jeremy, his nephew and his cousin in the end	4 u	2 u	1 u	2 u

The repeated identity is the age of Jeremy's nephew. LCM of 1 and 2 is 2.

The difference in age between Jeremy and Jeremy's nephew remains unchanged.

Difference in age between Jeremy and Jeremy's nephew
= 4 u - 2 u 
= 2 u 

2 u = 20

1 u = 20 ÷ 2 = 10

His cousin's present age 
= 1 u - 2
= 1 x 10 - 2
= 10 - 2
= 8

Jeremy's present age
= 4 u - 2
= 4 x 10 - 2
= 40 - 2
= 38

His cousin's present age as a fraction of Jeremy's present age
= ⁸₃₈
= ⁴₁₉

Answer(s): ⁴₁₉