Harry, Warren and Archie shared a sum of money. The amount received by Warren was ³₄ the amount of money received by Archie. After Harry had given $43 to Warren and $20 to Archie, Warren gave $7 to Archie. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Harry and Warren had at first.

	Harry	Warren	Archie
Before	3 u + 99	3 u	4 u
Change 1	- 43	+ 43
Change 2	- 20		+ 20
Change 3		- 7	+ 7
After	3 u + 36	3 u + 36	4 u + 27

Amount that Warren had in the end = 3 u + 36 

Amount that Archie had in the end = 4 u + 27

Amount that Harry had at first 
= 3 u + 36 + 43 + 20
= 3 u + 99

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

3 u + 36 = 4 u + 27
4 u - 3 u = 36 - 27

1 u = 9

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

Amount that Harry had in the end
= 3 u + 36
= 3 x 9 + 36
= 27 + 36
= $63

Amount that Harry had at first
= 63 + 43 + 20
= $126

Difference in the amounts between Harry and Warren at first
= 126 - 27
= $99

Answer(s): $99