Ethan, Ivan and Fabian shared a sum of money. The amount received by Ivan was ²₃ the amount of money received by Fabian. After Ethan had given $49 to Ivan and $23 to Fabian, Ivan gave $7 to Fabian. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Ethan and Ivan had at first.

	Ethan	Ivan	Fabian
Before	2 u + 114	2 u	3 u
Change 1	- 49	+ 49
Change 2	- 23		+ 23
Change 3		- 7	+ 7
After	2 u + 42	2 u + 42	3 u + 30

Amount that Ivan had in the end = 2 u + 42 

Amount that Fabian had in the end = 3 u + 30

Amount that Ethan had at first 
= 2 u + 42 + 49 + 23
= 2 u + 114

Amount that Ivan and Fabian had in the end is the same.

2 u + 42 = 3 u + 30
3 u - 2 u = 42 - 30

1 u = 12

Amount that Ethan and Ivan had in the end is the same.

Amount that Ethan had in the end
= 2 u + 42
= 2 x 12 + 42
= 24 + 42
= $66

Amount that Ethan had at first
= 66 + 49 + 23
= $138

Difference in the amounts between Ethan and Ivan at first
= 138 - 24
= $114

Answer(s): $114