Ethan, Vaidev and Daniel have some marbles. The ratios of their marbles are as follows:

Ethan : (Ethan + Vaidev + Daniel) = 1 : 5
Vaidev : (Ethan + Daniel) = 1 : 5

Daniel has 154 marbles more than Vaidev. In the end, Daniel gives away all he has to Vaidev and Ethan so that both Vaidev and Ethan end up with the same number of marbles, how many marbles has Vaidev received from Daniel?

Vaidev	Daniel	Ethan	Total
4x6		1x6	5x6
1x5	5x5		6x5
5 u	19 u	6 u	30 u

The total number of marbles is repeated.  Make the total number of marbles the same.  LCM of 5 and 6 is 30.

Number of marbles that Daniel has more than Vaidev
= 19 u - 5 u
= 14 u

14 u = 154

1 u = 154 ÷ 14 = 11

	Vaidev	Daniel	Ethan
Before	5 u	19 u	6 u
Change	+ 10 u	- 19 u	+ 9 u
After	15 u	0 u	15 u

Number of marbles that Vaidev has received from Daniel
= 15 u - 5 u 
= 10 u
= 10 x 11
= 110

Answer(s): 110