Albert, Owen and Billy shared a sum of money. The amount received by Owen was ⁴₅ the amount of money received by Billy. After Albert had given $53 to Owen and $28 to Billy, Owen gave $7 to Billy. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Albert and Owen had at first.

	Albert	Owen	Billy
Before	4 u + 127	4 u	5 u
Change 1	- 53	+ 53
Change 2	- 28		+ 28
Change 3		- 7	+ 7
After	4 u + 46	4 u + 46	5 u + 35

Amount that Owen had in the end = 4 u + 46 

Amount that Billy had in the end = 5 u + 35

Amount that Albert had at first 
= 4 u + 46 + 53 + 28
= 4 u + 127

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

4 u + 46 = 5 u + 35
5 u - 4 u = 46 - 35

1 u = 11

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

Amount that Albert had in the end
= 4 u + 46
= 4 x 11 + 46
= 44 + 46
= $90

Amount that Albert had at first
= 90 + 53 + 28
= $171

Difference in the amounts between Albert and Owen at first
= 171 - 44
= $127

Answer(s): $127