Neave, Zane and Eric shared a sum of money. The amount received by Zane was ²₃ the amount of money received by Eric. After Neave had given $48 to Zane and $29 to Eric, Zane gave $3 to Eric. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Neave and Zane had at first.

	Neave	Zane	Eric
Before	2 u + 122	2 u	3 u
Change 1	- 48	+ 48
Change 2	- 29		+ 29
Change 3		- 3	+ 3
After	2 u + 45	2 u + 45	3 u + 32

Amount that Zane had in the end = 2 u + 45 

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

Amount that Neave had at first 
= 2 u + 45 + 48 + 29
= 2 u + 122

Amount that Zane and Eric had in the end is the same.

2 u + 45 = 3 u + 32
3 u - 2 u = 45 - 32

1 u = 13

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

Amount that Neave had in the end
= 2 u + 45
= 2 x 13 + 45
= 26 + 45
= $71

Amount that Neave had at first
= 71 + 48 + 29
= $148

Difference in the amounts between Neave and Zane at first
= 148 - 26
= $122

Answer(s): $122