Wesley is 30 years older than his child. 3 years from now, his child will be ¹₃ of his age while his cousin will be ³₅ of his child. Express his cousin’s present age as a fraction of Wesley's present age. Leave your answer in its simplest form.

	Wesley	Wesley's child	Wesley's cousin	Difference between Wesley and Wesley's child
Before	15 u - 3	5 u - 3	3 u - 3	30
Change	+ 3	+ 3	+ 3
After	3x5	1x5
		5x1	3x1
Comparing Wesley, his child and his cousin in the end	15 u	5 u	3 u	10 u

The repeated identity is the age of Wesley's child. LCM of 1 and 5 is 5.

The difference in age between Wesley and Wesley's child remains unchanged.

Difference in age between Wesley and Wesley's child
= 15 u - 5 u 
= 10 u 

10 u = 30

1 u = 30 ÷ 10 = 3

His cousin's present age 
= 3 u - 3
= 3 x 3 - 3
= 9 - 3
= 6

Wesley's present age
= 15 u - 3
= 15 x 3 - 3
= 45 - 3
= 42

His cousin's present age as a fraction of Wesley's present age
= ⁶₄₂
= ¹₇

Answer(s): ¹₇