Jeremy is 20 years older than his daughter. 8 years from now, his daughter will be ¹₂ of his age while his child will be ³₅ of his daughter. Express his child’s present age as a fraction of Jeremy's present age. Leave your answer in its simplest form.

	Jeremy	Jeremy's daughter	Jeremy's child	Difference between Jeremy and Jeremy's daughter
Before	10 u - 8	5 u - 8	3 u - 8	20
Change	+ 8	+ 8	+ 8
After	2x5	1x5
		5x1	3x1
Comparing Jeremy, his daughter and his child in the end	10 u	5 u	3 u	5 u

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

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

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

5 u = 20

1 u = 20 ÷ 5 = 4

His child's present age 
= 3 u - 8
= 3 x 4 - 8
= 12 - 8
= 4

Jeremy's present age
= 10 u - 8
= 10 x 4 - 8
= 40 - 8
= 32

His child's present age as a fraction of Jeremy's present age
= ⁴₃₂
= ¹₈

Answer(s): ¹₈