Mark, John and Michael shared a sum of money. The amount received by John was ²₃ the amount of money received by Michael. After Mark had given $43 to John and $20 to Michael, John gave $3 to Michael. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Mark and John had at first.

	Mark	John	Michael
Before	2 u + 103	2 u	3 u
Change 1	- 43	+ 43
Change 2	- 20		+ 20
Change 3		- 3	+ 3
After	2 u + 40	2 u + 40	3 u + 23

Amount that John had in the end = 2 u + 40 

Amount that Michael had in the end = 3 u + 23

Amount that Mark had at first 
= 2 u + 40 + 43 + 20
= 2 u + 103

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

2 u + 40 = 3 u + 23
3 u - 2 u = 40 - 23

1 u = 17

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

Amount that Mark had in the end
= 2 u + 40
= 2 x 17 + 40
= 34 + 40
= $74

Amount that Mark had at first
= 74 + 43 + 20
= $137

Difference in the amounts between Mark and John at first
= 137 - 34
= $103

Answer(s): $103