Valen, Rael and Tom shared a bag of stamps. Rael took 27 as many stamps as Tom. Valen took thrice as many stamps as the total Rael and Tom took. After Valen had given 50 to Rael and 10 to Tom, Rael gave 10 to Tom. In the end, all three of them had the same number of stamps. Find the difference between the number of stamps that Valen and Rael had at first.
| |
Rael |
Tom |
Valen |
Total |
| Before |
2 u |
7 u |
27 u |
36 u |
| Change 1 |
+ 50 |
|
- 50 |
|
| Change 2 |
|
+ 10 |
- 10 |
|
| Change 3 |
- 10 |
+ 10 |
|
|
| After |
1x12 =
12 u |
1x12 =
12 u |
1x12 =
12 u |
3x12 =
36 u |
Total number of stamps that Rael and Tom had at first
= 2 u + 7 u
= 12 u
Number of stamps that Valen had at first
= 3 x 12 u
= 27 u
The total number of stamps remains unchanged. Make the total number of stamps the same. LCM of 3 and 36 is 36.
Number of stamps that Tom received from Rael and Valen
= 12 u - 7 u
= 5 u
5 u = 10 + 10
5 u = 20
1 u = 20 ÷ 5 = 4
Difference between the number stamps that Valen and Rael had at first
= 27 u - 2 u
= 25 u
= 25 x 4
= 100
Answer(s): 100
