Brandon is 20 years older than his cousin. 6 years from now, his cousin will be ¹₂ of his age while his daughter will be ²₅ of his cousin. Express his daughter’s present age as a fraction of Brandon's present age. Leave your answer in its simplest form.

	Brandon	Brandon's cousin	Brandon's daughter	Difference between Brandon and Brandon's cousin
Before	10 u - 6	5 u - 6	2 u - 6	20
Change	+ 6	+ 6	+ 6
After	2x5	1x5
		5x1	2x1
Comparing Brandon, his cousin and his daughter in the end	10 u	5 u	2 u	5 u

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

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

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

5 u = 20

1 u = 20 ÷ 5 = 4

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

Brandon's present age
= 10 u - 6
= 10 x 4 - 6
= 40 - 6
= 34

His daughter's present age as a fraction of Brandon's present age
= ²₃₄
= ¹₁₇

Answer(s): ¹₁₇