Glen, Archie and Xavier shared a sum of money. The amount received by Archie was ⁴₅ the amount of money received by Xavier. After Glen had given $49 to Archie and $25 to Xavier, Archie gave $3 to Xavier. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Glen and Archie had at first.

	Glen	Archie	Xavier
Before	4 u + 120	4 u	5 u
Change 1	- 49	+ 49
Change 2	- 25		+ 25
Change 3		- 3	+ 3
After	4 u + 46	4 u + 46	5 u + 28

Amount that Archie had in the end = 4 u + 46 

Amount that Xavier had in the end = 5 u + 28

Amount that Glen had at first 
= 4 u + 46 + 49 + 25
= 4 u + 120

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

4 u + 46 = 5 u + 28
5 u - 4 u = 46 - 28

1 u = 18

Amount that Glen and Archie had in the end is the same.

Amount that Glen had in the end
= 4 u + 46
= 4 x 18 + 46
= 72 + 46
= $118

Amount that Glen had at first
= 118 + 49 + 25
= $192

Difference in the amounts between Glen and Archie at first
= 192 - 72
= $120

Answer(s): $120