Asher and Vincent shared some stamps in the ratio of 5 : 7. After both each gave away 81 stamps to their brother, the ratio of the number of stamps Asher had to the total number of stamps left was 1 : 6. How many stamps did the two boys have in the end?

	Asher	Vincent	Difference
Before	5x2 = 10 u	7x2 = 14 u	2x2 = 4 u
Change	- 81	- 81
After	1x1 = 1 u	5x1 = 5 u	4x1 = 4 u

Number of stamps that Asher and Vincent each gave to their brother is the same.

The difference in the number of stamps at first and in the end between Asher and Vincent remains unchanged.  Make the difference in the number of stamps the same.  LCM of 2 and 4 is 4.

Number of stamps that Asher gave to their brother
= 10 u - 1 u
= 9 u

9 u = 81

1 u = 81 ÷ 9 = 9

Number of stamps that the two boys had in the end
= 1 u + 5 u
= 6 u
= 6 x 9
= 54

Answer(s): 54