Wesley is 20 years older than his nephew. 5 years from now, his nephew will be ¹₂ of his age while his niece will be ³₅ of his nephew. Express his niece’s present age as a fraction of Wesley's present age. Leave your answer in its simplest form.

	Wesley	Wesley's nephew	Wesley's niece	Difference between Wesley and Wesley's nephew
Before	10 u - 5	5 u - 5	3 u - 5	20
Change	+ 5	+ 5	+ 5
After	2x5	1x5
		5x1	3x1
Comparing Wesley, his nephew and his niece in the end	10 u	5 u	3 u	5 u

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

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

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

5 u = 20

1 u = 20 ÷ 5 = 4

His niece's present age 
= 3 u - 5
= 3 x 4 - 5
= 12 - 5
= 7

Wesley's present age
= 10 u - 5
= 10 x 4 - 5
= 40 - 5
= 35

His niece's present age as a fraction of Wesley's present age
= ⁷₃₅
= ¹₅

Answer(s): ¹₅