There were some marbles in Bag X and Bag Y. After Pierre transferred
23 of the marbles from Bag X to Bag Y, the ratio of the number of marbles in Bag X to that in Bag Y changed to 3 : 7. Find the ratio of the numbers of marbles in Bag X to the number of marbles in Bag Y at first.
|
Bag X |
Bag Y |
Before |
3x3 = 9 u |
1 u |
Change |
- 2x3 = - 6 u |
+ 6 u |
After |
1x3 = 3 u |
|
Comparing Bag X and Bag Y in the end |
3x1 = 3 u |
7x1 = 7 u |
The number of marbles in Bag X in the end is repeated. Make the number of marbles in Bag X in the end the same. LCM of 1 and 3 is 3.
At first
Bag X : Bag Y
9 : 1
Answer(s): 9 : 1