Oliver, Wesley and Michael shared a sum of money. The amount received by Wesley was ²₃ the amount of money received by Michael. After Oliver had given $46 to Wesley and $20 to Michael, Wesley gave $5 to Michael. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Oliver and Wesley had at first.

	Oliver	Wesley	Michael
Before	2 u + 107	2 u	3 u
Change 1	- 46	+ 46
Change 2	- 20		+ 20
Change 3		- 5	+ 5
After	2 u + 41	2 u + 41	3 u + 25

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

Amount that Michael had in the end = 3 u + 25

Amount that Oliver had at first 
= 2 u + 41 + 46 + 20
= 2 u + 107

Amount that Wesley and Michael had in the end is the same.

2 u + 41 = 3 u + 25
3 u - 2 u = 41 - 25

1 u = 16

Amount that Oliver and Wesley had in the end is the same.

Amount that Oliver had in the end
= 2 u + 41
= 2 x 16 + 41
= 32 + 41
= $73

Amount that Oliver had at first
= 73 + 46 + 20
= $139

Difference in the amounts between Oliver and Wesley at first
= 139 - 32
= $107

Answer(s): $107