Riordan, Tommy and Wesley shared a sum of money. The amount received by Tommy was ⁴₅ the amount of money received by Wesley. After Riordan had given $44 to Tommy and $25 to Wesley, Tommy gave $2 to Wesley. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Riordan and Tommy had at first.

	Riordan	Tommy	Wesley
Before	4 u + 111	4 u	5 u
Change 1	- 44	+ 44
Change 2	- 25		+ 25
Change 3		- 2	+ 2
After	4 u + 42	4 u + 42	5 u + 27

Amount that Tommy had in the end = 4 u + 42 

Amount that Wesley had in the end = 5 u + 27

Amount that Riordan had at first 
= 4 u + 42 + 44 + 25
= 4 u + 111

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

4 u + 42 = 5 u + 27
5 u - 4 u = 42 - 27

1 u = 15

Amount that Riordan and Tommy had in the end is the same.

Amount that Riordan had in the end
= 4 u + 42
= 4 x 15 + 42
= 60 + 42
= $102

Amount that Riordan had at first
= 102 + 44 + 25
= $171

Difference in the amounts between Riordan and Tommy at first
= 171 - 60
= $111

Answer(s): $111