Tommy, Andy and Justin shared a sum of money. The amount received by Andy was ²₃ the amount of money received by Justin. After Tommy had given $50 to Andy and $24 to Justin, Andy gave $5 to Justin. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Tommy and Andy had at first.

	Tommy	Andy	Justin
Before	2 u + 119	2 u	3 u
Change 1	- 50	+ 50
Change 2	- 24		+ 24
Change 3		- 5	+ 5
After	2 u + 45	2 u + 45	3 u + 29

Amount that Andy had in the end = 2 u + 45 

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

Amount that Tommy had at first 
= 2 u + 45 + 50 + 24
= 2 u + 119

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

2 u + 45 = 3 u + 29
3 u - 2 u = 45 - 29

1 u = 16

Amount that Tommy and Andy had in the end is the same.

Amount that Tommy had in the end
= 2 u + 45
= 2 x 16 + 45
= 32 + 45
= $77

Amount that Tommy had at first
= 77 + 50 + 24
= $151

Difference in the amounts between Tommy and Andy at first
= 151 - 32
= $119

Answer(s): $119