Vaidev and John collected some stickers. If Vaidev gave John 56 stickers, both would have an equal number of stickers. If John gave Vaidev 31 stickers, Vaidev would have 4 times as many stickers as John. Find the number of stickers each of them had.
- Vaidev?
- John?
| Case 1 |
Case 2 |
| Vaidev |
John |
Vaidev |
John |
| 5 u + 56 |
5 u - 56 |
8 u - 31 |
2 u + 31 |
| - 56 |
+ 56 |
+ 31 |
- 31 |
1x5 =
5 u |
1x5 =
5 u |
4x2 =
8 u |
1x2 =
2 u |
(a)
The total number of stamps remains unchanged in both cases. Make the total number of stickers the same. LCM of 2 and 5 is 10.
The number of stickers that John had at first is the same in both cases.
5 u - 56 = 2 u + 31
5 u - 2 u = 56 + 31
3 u = 87
1 u = 87 ÷ 3 = 29
Number of stickers that Vaidev had
= 5 u + 56
= 5 x 29 + 56
= 201
(b)
Number of stickers that John had
= 5 u - 56
= 5 x 29 - 56
= 89
Answer(s): (a) 201; (b) 89
