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

	Jack	Jack's cousin	Jack's daughter	Difference between Jack and Jack's cousin
Before	10 u - 12	5 u - 12	3 u - 12	40
Change	+ 12	+ 12	+ 12
After	2x5	1x5
		5x1	3x1
Comparing Jack, his cousin and his daughter in the end	10 u	5 u	3 u	5 u

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

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

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

5 u = 40

1 u = 40 ÷ 5 = 8

His daughter's present age 
= 3 u - 12
= 3 x 8 - 12
= 24 - 12
= 12

Jack's present age
= 10 u - 12
= 10 x 8 - 12
= 80 - 12
= 68

His daughter's present age as a fraction of Jack's present age
= ¹²₆₈
= ³₁₇

Answer(s): ³₁₇