Owen, Warren and Daniel shared a sum of money. The amount received by Warren was ²₃ the amount of money received by Daniel. After Owen had given $54 to Warren and $21 to Daniel, Warren gave $8 to Daniel. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Owen and Warren had at first.

	Owen	Warren	Daniel
Before	2 u + 121	2 u	3 u
Change 1	- 54	+ 54
Change 2	- 21		+ 21
Change 3		- 8	+ 8
After	2 u + 46	2 u + 46	3 u + 29

Amount that Warren had in the end = 2 u + 46 

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

Amount that Owen had at first 
= 2 u + 46 + 54 + 21
= 2 u + 121

Amount that Warren and Daniel had in the end is the same.

2 u + 46 = 3 u + 29
3 u - 2 u = 46 - 29

1 u = 17

Amount that Owen and Warren had in the end is the same.

Amount that Owen had in the end
= 2 u + 46
= 2 x 17 + 46
= 34 + 46
= $80

Amount that Owen had at first
= 80 + 54 + 21
= $155

Difference in the amounts between Owen and Warren at first
= 155 - 34
= $121

Answer(s): $121