Jack is 30 years older than his nephew. 3 years from now, his nephew will be ¹₂ of his age while his daughter will be ²₅ of his nephew. Express his daughter’s present age as a fraction of Jack's present age. Leave your answer in its simplest form.

	Jack	Jack's nephew	Jack's daughter	Difference between Jack and Jack's nephew
Before	10 u - 3	5 u - 3	2 u - 3	30
Change	+ 3	+ 3	+ 3
After	2x5	1x5
		5x1	2x1
Comparing Jack, his nephew and his daughter in the end	10 u	5 u	2 u	5 u

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

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

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

5 u = 30

1 u = 30 ÷ 5 = 6

His daughter's present age 
= 2 u - 3
= 2 x 6 - 3
= 12 - 3
= 9

Jack's present age
= 10 u - 3
= 10 x 6 - 3
= 60 - 3
= 57

His daughter's present age as a fraction of Jack's present age
= ⁹₅₇
= ³₁₉

Answer(s): ³₁₉