Glen, Xavier and Albert have some marbles. The ratios of their marbles are as follows:

Glen : (Glen + Xavier + Albert) = 1 : 5
Xavier : (Glen + Albert) = 1 : 5

Albert has 126 marbles more than Xavier. In the end, Albert gives away all he has to Xavier and Glen so that both Xavier and Glen end up with the same number of marbles, how many marbles has Glen received from Albert?

Xavier	Albert	Glen	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 Albert has more than Xavier
= 19 u - 5 u
= 14 u

14 u = 126

1 u = 126 ÷ 14 = 9

	Xavier	Albert	Glen
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 Glen has received from Albert
= 15 u - 6 u 
= 9 u
= 9 x 9
= 81

Answer(s): 81