Julian is 24 years older than his niece. 2 years from now, his niece will be ¹₃ of his age while his cousin will be ¹₂ of his niece. Express his cousin’s present age as a fraction of Julian's present age. Leave your answer in its simplest form.

	Julian	Julian's niece	Julian's cousin	Difference between Julian and Julian's niece
Before	6 u - 2	2 u - 2	1 u - 2	24
Change	+ 2	+ 2	+ 2
After	3x2	1x2
		2x1	1x1
Comparing Julian, his niece and his cousin in the end	6 u	2 u	1 u	4 u

The repeated identity is the age of Julian's niece. LCM of 1 and 2 is 2.

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

Difference in age between Julian and Julian's niece
= 6 u - 2 u 
= 4 u 

4 u = 24

1 u = 24 ÷ 4 = 6

His cousin's present age 
= 1 u - 2
= 1 x 6 - 2
= 6 - 2
= 4

Julian's present age
= 6 u - 2
= 6 x 6 - 2
= 36 - 2
= 34

His cousin's present age as a fraction of Julian's present age
= ⁴₃₄
= ²₁₇

Answer(s): ²₁₇