Tom had 4 times as many stamps as Harry at first. Then each of them bought an equal number of new stamps. In the end, Harry had 12 stamps and Tom had 3 times as many stamps as Harry. How many stamps did both of them buy altogether?
| |
Tom |
Harry |
Difference |
| Before |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
| Change |
+ ? |
+ ? |
|
| After |
3x3 =
9 u |
1x3 =
3 u |
2x3 =
6 u |
The difference in the number of stamps at first and in the end remains unchanged. Make the difference in the number of stamps at first and in the end the same. LCM of 3 and 2 is 6.
Number of stamps that Harry had in the end = 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of stamps that Tom bought
= 9 u - 8 u
= 1 u
Number of stamps that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 4
= 8
Answer(s): 8
