Howard is 30 years older than his cousin. 4 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 Howard's present age. Leave your answer in its simplest form.

	Howard	Howard's cousin	Howard's daughter	Difference between Howard and Howard's cousin
Before	10 u - 4	5 u - 4	3 u - 4	30
Change	+ 4	+ 4	+ 4
After	2x5	1x5
		5x1	3x1
Comparing Howard, his cousin and his daughter in the end	10 u	5 u	3 u	5 u

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

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

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

5 u = 30

1 u = 30 ÷ 5 = 6

His daughter's present age 
= 3 u - 4
= 3 x 6 - 4
= 18 - 4
= 14

Howard's present age
= 10 u - 4
= 10 x 6 - 4
= 60 - 4
= 56

His daughter's present age as a fraction of Howard's present age
= ¹⁴₅₆
= ¹₄

Answer(s): ¹₄