There were some coins in Packet M and Packet N. After Archie transferred
15 of the coins from Packet M to Packet N, the ratio of the number of coins in Packet M to that in Packet N changed to 2 : 5. Find the ratio of the numbers of coins in Packet M to the number of coins in Packet N at first.
|
Packet M |
Packet N |
Before |
5x1 = 5 u |
9 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
4x1 = 4 u |
|
Comparing Packet M and Packet N in the end |
2x2 = 4 u |
5x2 = 10 u |
The number of coins in Packet M in the end is repeated. Make the number of coins in Packet M in the end the same. LCM of 4 and 2 is 4.
At first
Packet M : Packet N
5 : 9
Answer(s): 5 : 9