Reggie and Ken had 66 files. After Reggie gave 23 files to Ken. Ken, in return, gave half of his files to Reggie. In the end, Reggie had twice as many files as Ken. How many files did Reggie have at first?
| |
Reggie |
Ken |
Total |
| Before |
1 u + 23 |
2 u - 23 |
66 |
| Change 1 |
- 23 |
+ 23 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
66 |
Total number of files that Reggie and Ken had at first and in the end remains unchanged.
Total number of files
= 2 u + 1 u
= 3 u
1 u = 66 ÷ 3 = 22
Number of files that Reggie had at first
= 1 u + 23
= 22 + 23
= 45
Answer(s): 45
