Simon is 35 years older than his nephew. 4 years from now, his nephew will be ¹₂ of his age while his niece will be ³₇ of his nephew. Express his niece’s present age as a fraction of Simon's present age. Leave your answer in its simplest form.

	Simon	Simon's nephew	Simon's niece	Difference between Simon and Simon's nephew
Before	14 u - 4	7 u - 4	3 u - 4	35
Change	+ 4	+ 4	+ 4
After	2x7	1x7
		7x1	3x1
Comparing Simon, his nephew and his niece in the end	14 u	7 u	3 u	7 u

The repeated identity is the age of Simon's nephew. LCM of 1 and 7 is 7.

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

Difference in age between Simon and Simon's nephew
= 14 u - 7 u 
= 7 u 

7 u = 35

1 u = 35 ÷ 7 = 5

His niece's present age 
= 3 u - 4
= 3 x 5 - 4
= 15 - 4
= 11

Simon's present age
= 14 u - 4
= 14 x 5 - 4
= 70 - 4
= 66

His niece's present age as a fraction of Simon's present age
= ¹¹₆₆
= ¹₆

Answer(s): ¹₆