Simon, Tim and Ryan shared a sum of money. The amount received by Tim was ²₃ the amount of money received by Ryan. After Simon had given $49 to Tim and $29 to Ryan, Tim gave $6 to Ryan. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Simon and Tim had at first.

	Simon	Tim	Ryan
Before	2 u + 121	2 u	3 u
Change 1	- 49	+ 49
Change 2	- 29		+ 29
Change 3		- 6	+ 6
After	2 u + 43	2 u + 43	3 u + 35

Amount that Tim had in the end = 2 u + 43 

Amount that Ryan had in the end = 3 u + 35

Amount that Simon had at first 
= 2 u + 43 + 49 + 29
= 2 u + 121

Amount that Tim and Ryan had in the end is the same.

2 u + 43 = 3 u + 35
3 u - 2 u = 43 - 35

1 u = 8

Amount that Simon and Tim had in the end is the same.

Amount that Simon had in the end
= 2 u + 43
= 2 x 8 + 43
= 16 + 43
= $59

Amount that Simon had at first
= 59 + 49 + 29
= $137

Difference in the amounts between Simon and Tim at first
= 137 - 16
= $121

Answer(s): $121