Ben, Zane and Charlie shared a sum of money. The amount received by Zane was ²₃ the amount of money received by Charlie. After Ben had given $43 to Zane and $22 to Charlie, Zane gave $2 to Charlie. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Ben and Zane had at first.

	Ben	Zane	Charlie
Before	2 u + 106	2 u	3 u
Change 1	- 43	+ 43
Change 2	- 22		+ 22
Change 3		- 2	+ 2
After	2 u + 41	2 u + 41	3 u + 24

Amount that Zane had in the end = 2 u + 41 

Amount that Charlie had in the end = 3 u + 24

Amount that Ben had at first 
= 2 u + 41 + 43 + 22
= 2 u + 106

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

2 u + 41 = 3 u + 24
3 u - 2 u = 41 - 24

1 u = 17

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

Amount that Ben had in the end
= 2 u + 41
= 2 x 17 + 41
= 34 + 41
= $75

Amount that Ben had at first
= 75 + 43 + 22
= $140

Difference in the amounts between Ben and Zane at first
= 140 - 34
= $106

Answer(s): $106