Neave, Michael and Vaidev shared a sum of money. The amount received by Michael was ³₄ the amount of money received by Vaidev. After Neave had given $44 to Michael and $21 to Vaidev, Michael gave $3 to Vaidev. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Neave and Michael had at first.

	Neave	Michael	Vaidev
Before	3 u + 106	3 u	4 u
Change 1	- 44	+ 44
Change 2	- 21		+ 21
Change 3		- 3	+ 3
After	3 u + 41	3 u + 41	4 u + 24

Amount that Michael had in the end = 3 u + 41 

Amount that Vaidev had in the end = 4 u + 24

Amount that Neave had at first 
= 3 u + 41 + 44 + 21
= 3 u + 106

Amount that Michael and Vaidev had in the end is the same.

3 u + 41 = 4 u + 24
4 u - 3 u = 41 - 24

1 u = 17

Amount that Neave and Michael had in the end is the same.

Amount that Neave had in the end
= 3 u + 41
= 3 x 17 + 41
= 51 + 41
= $92

Amount that Neave had at first
= 92 + 44 + 21
= $157

Difference in the amounts between Neave and Michael at first
= 157 - 51
= $106

Answer(s): $106