Japheth is 30 years older than his son. 8 years from now, his son will be ¹₂ of his age while his nephew will be ²₅ of his son. Express his nephew’s present age as a fraction of Japheth's present age. Leave your answer in its simplest form.

	Japheth	Japheth's son	Japheth's nephew	Difference between Japheth and Japheth's son
Before	10 u - 8	5 u - 8	2 u - 8	30
Change	+ 8	+ 8	+ 8
After	2x5	1x5
		5x1	2x1
Comparing Japheth, his son and his nephew in the end	10 u	5 u	2 u	5 u

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

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

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

5 u = 30

1 u = 30 ÷ 5 = 6

His nephew's present age 
= 2 u - 8
= 2 x 6 - 8
= 12 - 8
= 4

Japheth's present age
= 10 u - 8
= 10 x 6 - 8
= 60 - 8
= 52

His nephew's present age as a fraction of Japheth's present age
= ⁴₅₂
= ¹₁₃

Answer(s): ¹₁₃