Will is 40 years older than his daughter. 3 years from now, his daughter will be ¹₂ of his age while his cousin will be ³₅ of his daughter. Express his cousin’s present age as a fraction of Will's present age. Leave your answer in its simplest form.

	Will	Will's daughter	Will's cousin	Difference between Will and Will's daughter
Before	10 u - 3	5 u - 3	3 u - 3	40
Change	+ 3	+ 3	+ 3
After	2x5	1x5
		5x1	3x1
Comparing Will, his daughter and his cousin in the end	10 u	5 u	3 u	5 u

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

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

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

5 u = 40

1 u = 40 ÷ 5 = 8

His cousin's present age 
= 3 u - 3
= 3 x 8 - 3
= 24 - 3
= 21

Will's present age
= 10 u - 3
= 10 x 8 - 3
= 80 - 3
= 77

His cousin's present age as a fraction of Will's present age
= ²¹₇₇
= ³₁₁

Answer(s): ³₁₁