Mark, Reggie and Liam shared a sum of money. The amount received by Reggie was ³₄ the amount of money received by Liam. After Mark had given $45 to Reggie and $24 to Liam, Reggie gave $2 to Liam. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Mark and Reggie had at first.

	Mark	Reggie	Liam
Before	3 u + 112	3 u	4 u
Change 1	- 45	+ 45
Change 2	- 24		+ 24
Change 3		- 2	+ 2
After	3 u + 43	3 u + 43	4 u + 26

Amount that Reggie had in the end = 3 u + 43 

Amount that Liam had in the end = 4 u + 26

Amount that Mark had at first 
= 3 u + 43 + 45 + 24
= 3 u + 112

Amount that Reggie and Liam had in the end is the same.

3 u + 43 = 4 u + 26
4 u - 3 u = 43 - 26

1 u = 17

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

Amount that Mark had in the end
= 3 u + 43
= 3 x 17 + 43
= 51 + 43
= $94

Amount that Mark had at first
= 94 + 45 + 24
= $163

Difference in the amounts between Mark and Reggie at first
= 163 - 51
= $112

Answer(s): $112