Ivan is 20 years older than his nephew. 4 years from now, his nephew will be ¹₃ of his age while his daughter will be ³₅ of his nephew. Express his daughter’s present age as a fraction of Ivan's present age. Leave your answer in its simplest form.

	Ivan	Ivan's nephew	Ivan's daughter	Difference between Ivan and Ivan's nephew
Before	15 u - 4	5 u - 4	3 u - 4	20
Change	+ 4	+ 4	+ 4
After	3x5	1x5
		5x1	3x1
Comparing Ivan, his nephew and his daughter in the end	15 u	5 u	3 u	10 u

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

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

Difference in age between Ivan and Ivan's nephew
= 15 u - 5 u 
= 10 u 

10 u = 20

1 u = 20 ÷ 10 = 2

His daughter's present age 
= 3 u - 4
= 3 x 2 - 4
= 6 - 4
= 2

Ivan's present age
= 15 u - 4
= 15 x 2 - 4
= 30 - 4
= 26

His daughter's present age as a fraction of Ivan's present age
= ²₂₆
= ¹₁₃

Answer(s): ¹₁₃