Bryan and Archie had 51 files. After Bryan gave 12 files to Archie. Archie, in return, gave half of his files to Bryan. In the end, Bryan had twice as many files as Archie. How many files did Bryan have at first?
| |
Bryan |
Archie |
Total |
| Before |
1 u + 12 |
2 u - 12 |
51 |
| Change 1 |
- 12 |
+ 12 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
51 |
Total number of files that Bryan and Archie had at first and in the end remains unchanged.
Total number of files
= 2 u + 1 u
= 3 u
1 u = 51 ÷ 3 = 17
Number of files that Bryan had at first
= 1 u + 12
= 17 + 12
= 29
Answer(s): 29
