Yen and Xuan have some stamps. If Yen gives 15 stamps to Xuan, Xuan will have 5 times the number of stamps as Yen. If Xuan gives 35 stamps to Yen, Yen will have
35 as many stamps as Xuan. How many stamps does Yen have at first?
| |
Case 1 |
Case 2 |
| |
Yen |
Xuan |
Yen |
Xuan |
| Before |
4 u + 15 |
20 u - 15 |
9 u - 35 |
15 u + 35 |
| Change |
- 15 |
+ 15 |
+ 35 |
- 35 |
| After |
1x4 =
4 u |
5x4 =
20 u |
3x3 =
9 u |
5x3 =
15 u |
The total number of stamps in both cases remains unchanged. Make the total number of stamps in both cases the same. LCM of 6 and 8 is 24.
Number of stamps that Yen had at first is the same in both cases.
9 u - 35 = 4 u + 15
9 u - 4 u = 15 + 35
5 u = 50
1 u = 10
Number of stamps that Yen had at first
= 4 u + 15
= 4 x 10 + 15
= 40 + 15
= 55
Answer(s): 55
