Xavier, Ryan and Perry shared a sum of money. The amount received by Ryan was ⁴₅ the amount of money received by Perry. After Xavier had given $48 to Ryan and $29 to Perry, Ryan gave $6 to Perry. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Xavier and Ryan had at first.

	Xavier	Ryan	Perry
Before	4 u + 119	4 u	5 u
Change 1	- 48	+ 48
Change 2	- 29		+ 29
Change 3		- 6	+ 6
After	4 u + 42	4 u + 42	5 u + 35

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

Amount that Perry had in the end = 5 u + 35

Amount that Xavier had at first 
= 4 u + 42 + 48 + 29
= 4 u + 119

Amount that Ryan and Perry had in the end is the same.

4 u + 42 = 5 u + 35
5 u - 4 u = 42 - 35

1 u = 7

Amount that Xavier and Ryan had in the end is the same.

Amount that Xavier had in the end
= 4 u + 42
= 4 x 7 + 42
= 28 + 42
= $70

Amount that Xavier had at first
= 70 + 48 + 29
= $147

Difference in the amounts between Xavier and Ryan at first
= 147 - 28
= $119

Answer(s): $119