Vaidev and Marion has some money each. If Marion gives Vaidev $19, he will have 5 times as much money as her. If Vaidev gives Marion $13, he will have the same amount of money as her. How much money does each person have respectively?

1. Vaidev?
2. Marion?

	Case 1		Case 2
	Vaidev	Marion	Vaidev	Marion
Before	5 u - 19	1 u + 19	3 u + 13	3 u - 13
Change	+ 19	- 19	- 13	+ 13
After	5 u	1 u	3 u	3 u

(a)
If Marion gives Vaidev some money or Vaidev gives Marion some money, the total amount of money remains the same.  

Total amount that Vaidev and Marion have in the end for both cases
= 5 u + 1 u
= 6 u

Amount that Vaidev and Marion each has in the end in Case 2
= 6 u ÷ 2
= 3 u

The amount that Vaidev has at first in Case 1 and Case 2 is the same.
5 u - 19 = 3 u + 13
5 u - 3 u = 13 + 19

1 u = 32

Amount that Vaidev has
= 3 u + 13
= 3 x 32 + 13
= 96 + 13
= $109

(b)
Amount that Marion has
= 1 u + 19
= 32 + 19
= $51

Answer(s): (a) $109; (b) $51