Brandon and Simon had 72 files. After Brandon gave 12 files to Simon. Simon, in return, gave half of his files to Brandon. In the end, Brandon had twice as many files as Simon. How many files did Brandon have at first?
| |
Brandon |
Simon |
Total |
| Before |
1 u + 12 |
2 u - 12 |
72 |
| Change 1 |
- 12 |
+ 12 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
72 |
Total number of files that Brandon and Simon had at first and in the end remains unchanged.
Total number of files
= 2 u + 1 u
= 3 u
1 u = 72 ÷ 3 = 24
Number of files that Brandon had at first
= 1 u + 12
= 24 + 12
= 36
Answer(s): 36
