Asher and Flynn shared some cards in the ratio of 4 : 7. After both each gave away 25 cards to their brother, the ratio of the number of cards Asher had to the total number of cards left was 1 : 4. How many cards did the two boys have at first?

	Asher	Flynn	Difference
Before	4x2 = 8 u	7x2 = 14 u	3x2 = 6 u
Change	- 25	- 25
After	1x3 = 3 u	3x3 = 9 u	2x3 = 6 u

Number of cards that Asher and Flynn each gave to their brother is the same.

The difference in the number of cards at first and in the end between Asher and Flynn remains unchanged.  Make the difference in the number of cards the same.  LCM of 3 and 2 is 6.

Number of cards that Asher gave to their brother
= 8 u - 3 u
= 5 u

5 u = 25

1 u = 25 ÷ 5 = 5

Number of cards that the two boys had at first
= 8 u + 14 u
= 22 u
= 22 x 5
= 110

Answer(s): 110