Rael, Neave and Julian shared a sum of money. The amount received by Neave was ²₃ the amount of money received by Julian. After Rael had given $50 to Neave and $29 to Julian, Neave gave $3 to Julian. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Rael and Neave had at first.

	Rael	Neave	Julian
Before	2 u + 126	2 u	3 u
Change 1	- 50	+ 50
Change 2	- 29		+ 29
Change 3		- 3	+ 3
After	2 u + 47	2 u + 47	3 u + 32

Amount that Neave had in the end = 2 u + 47 

Amount that Julian had in the end = 3 u + 32

Amount that Rael had at first 
= 2 u + 47 + 50 + 29
= 2 u + 126

Amount that Neave and Julian had in the end is the same.

2 u + 47 = 3 u + 32
3 u - 2 u = 47 - 32

1 u = 15

Amount that Rael and Neave had in the end is the same.

Amount that Rael had in the end
= 2 u + 47
= 2 x 15 + 47
= 30 + 47
= $77

Amount that Rael had at first
= 77 + 50 + 29
= $156

Difference in the amounts between Rael and Neave at first
= 156 - 30
= $126

Answer(s): $126