Jack is 35 years older than his cousin. 10 years from now, his cousin will be ¹₂ of his age while his daughter will be ³₇ 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	14 u - 10	7 u - 10	3 u - 10	35
Change	+ 10	+ 10	+ 10
After	2x7	1x7
		7x1	3x1
Comparing Jack, his cousin and his daughter in the end	14 u	7 u	3 u	7 u

The repeated identity is the age of Jack's cousin. LCM of 1 and 7 is 7.

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

Difference in age between Jack and Jack's cousin
= 14 u - 7 u 
= 7 u 

7 u = 35

1 u = 35 ÷ 7 = 5

His daughter's present age 
= 3 u - 10
= 3 x 5 - 10
= 15 - 10
= 5

Jack's present age
= 14 u - 10
= 14 x 5 - 10
= 70 - 10
= 60

His daughter's present age as a fraction of Jack's present age
= ⁵₆₀
= ¹₁₂

Answer(s): ¹₁₂