Cody's current age is 7 times as old as Flynn's age years ago. Today, Flynn's age is Cody's age the same number of years ago. How old is Flynn's age now if the total of their current age is 66?
| |
Cody |
Flynn |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
66 |
Total age of Cody and Flynn today = 7 u + 1 p
7 u + 1 p = 66 --- (1)
The difference in Cody's age and Flynn's age remains the same.
7 u - 1 p = 1 p - 1 u
7 u + 1 u = 1 p + 1 p
8 u = 2 p
4 u = 1 p
Substitute 1 p = 4 u into (1).
7 u + 1 p = 66
7 u + 4 u = 66
11 u = 66
1 u = 66 ÷ 11 = 6
Cody's age now
= 66 - 7 u
= 66 - 7 x 6
= 66 - 42
= 24
Answer(s): 24
