Asher and Glen shared some coins in the ratio of 3 : 8. After both each gave away 70 coins to their sister, the ratio of the number of coins Asher had to the total number of coins left was 1 : 6. How many coins did the two boys have at first?

	Asher	Glen	Difference
Before	3x4 = 12 u	8x4 = 32 u	5x4 = 20 u
Change	- 70	- 70
After	1x5 = 5 u	5x5 = 25 u	4x5 = 20 u

Number of coins that Asher and Glen each gave to their sister is the same.

The difference in the number of coins at first and in the end between Asher and Glen remains unchanged.  Make the difference in the number of coins the same.  LCM of 5 and 4 is 20.

Number of coins that Asher gave to their sister
= 12 u - 5 u
= 7 u

7 u = 70

1 u = 70 ÷ 7 = 10

Number of coins that the two boys had at first
= 12 u + 32 u
= 44 u
= 44 x 10
= 440

Answer(s): 440