Peter is 40 years older than his daughter. 9 years from now, his daughter will be ¹₃ of his age while his cousin will be ³₅ of his daughter. Express his cousin’s present age as a fraction of Peter's present age. Leave your answer in its simplest form.

	Peter	Peter's daughter	Peter's cousin	Difference between Peter and Peter's daughter
Before	15 u - 9	5 u - 9	3 u - 9	40
Change	+ 9	+ 9	+ 9
After	3x5	1x5
		5x1	3x1
Comparing Peter, his daughter and his cousin in the end	15 u	5 u	3 u	10 u

The repeated identity is the age of Peter's daughter. LCM of 1 and 5 is 5.

The difference in age between Peter and Peter's daughter remains unchanged.

Difference in age between Peter and Peter's daughter
= 15 u - 5 u 
= 10 u 

10 u = 40

1 u = 40 ÷ 10 = 4

His cousin's present age 
= 3 u - 9
= 3 x 4 - 9
= 12 - 9
= 3

Peter's present age
= 15 u - 9
= 15 x 4 - 9
= 60 - 9
= 51

His cousin's present age as a fraction of Peter's present age
= ³₅₁
= ¹₁₇

Answer(s): ¹₁₇