Henry, Justin and Michael shared a sum of money. The amount received by Justin was ⁴₅ the amount of money received by Michael. After Henry had given $41 to Justin and $25 to Michael, Justin 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 Henry and Justin had at first.

	Henry	Justin	Michael
Before	4 u + 104	4 u	5 u
Change 1	- 41	+ 41
Change 2	- 25		+ 25
Change 3		- 3	+ 3
After	4 u + 38	4 u + 38	5 u + 28

Amount that Justin had in the end = 4 u + 38 

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

Amount that Henry had at first 
= 4 u + 38 + 41 + 25
= 4 u + 104

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

4 u + 38 = 5 u + 28
5 u - 4 u = 38 - 28

1 u = 10

Amount that Henry and Justin had in the end is the same.

Amount that Henry had in the end
= 4 u + 38
= 4 x 10 + 38
= 40 + 38
= $78

Amount that Henry had at first
= 78 + 41 + 25
= $144

Difference in the amounts between Henry and Justin at first
= 144 - 40
= $104

Answer(s): $104