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

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

The repeated identity is the age of George's child. LCM of 1 and 7 is 7.

The difference in age between George and George's child remains unchanged.

Difference in age between George and George's child
= 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

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

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

Answer(s): ¹₆