Xavier, John and Ben shared a sum of money. The amount received by John was ³₄ the amount of money received by Ben. After Xavier had given $45 to John and $22 to Ben, John gave $8 to Ben. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Xavier and John had at first.

	Xavier	John	Ben
Before	3 u + 104	3 u	4 u
Change 1	- 45	+ 45
Change 2	- 22		+ 22
Change 3		- 8	+ 8
After	3 u + 37	3 u + 37	4 u + 30

Amount that John had in the end = 3 u + 37 

Amount that Ben had in the end = 4 u + 30

Amount that Xavier had at first 
= 3 u + 37 + 45 + 22
= 3 u + 104

Amount that John and Ben had in the end is the same.

3 u + 37 = 4 u + 30
4 u - 3 u = 37 - 30

1 u = 7

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

Amount that Xavier had in the end
= 3 u + 37
= 3 x 7 + 37
= 21 + 37
= $58

Amount that Xavier had at first
= 58 + 45 + 22
= $125

Difference in the amounts between Xavier and John at first
= 125 - 21
= $104

Answer(s): $104