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