Nick, Billy and Asher shared a sum of money. The amount received by Billy was ³₄ the amount of money received by Asher. After Nick had given $44 to Billy and $20 to Asher, Billy gave $2 to Asher. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Nick and Billy had at first.

	Nick	Billy	Asher
Before	3 u + 106	3 u	4 u
Change 1	- 44	+ 44
Change 2	- 20		+ 20
Change 3		- 2	+ 2
After	3 u + 42	3 u + 42	4 u + 22

Amount that Billy had in the end = 3 u + 42 

Amount that Asher had in the end = 4 u + 22

Amount that Nick had at first 
= 3 u + 42 + 44 + 20
= 3 u + 106

Amount that Billy and Asher had in the end is the same.

3 u + 42 = 4 u + 22
4 u - 3 u = 42 - 22

1 u = 20

Amount that Nick and Billy had in the end is the same.

Amount that Nick had in the end
= 3 u + 42
= 3 x 20 + 42
= 60 + 42
= $102

Amount that Nick had at first
= 102 + 44 + 20
= $166

Difference in the amounts between Nick and Billy at first
= 166 - 60
= $106

Answer(s): $106