Seth, Cole and Justin shared a sum of money. The amount received by Cole was ²₃ the amount of money received by Justin. After Seth had given $55 to Cole and $27 to Justin, Cole gave $2 to Justin. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Seth and Cole had at first.

	Seth	Cole	Justin
Before	2 u + 135	2 u	3 u
Change 1	- 55	+ 55
Change 2	- 27		+ 27
Change 3		- 2	+ 2
After	2 u + 53	2 u + 53	3 u + 29

Amount that Cole had in the end = 2 u + 53 

Amount that Justin had in the end = 3 u + 29

Amount that Seth had at first 
= 2 u + 53 + 55 + 27
= 2 u + 135

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

2 u + 53 = 3 u + 29
3 u - 2 u = 53 - 29

1 u = 24

Amount that Seth and Cole had in the end is the same.

Amount that Seth had in the end
= 2 u + 53
= 2 x 24 + 53
= 48 + 53
= $101

Amount that Seth had at first
= 101 + 55 + 27
= $183

Difference in the amounts between Seth and Cole at first
= 183 - 48
= $135

Answer(s): $135