Flynn's current age is 9 times as old as Valen's age years ago. Today, Valen's age is Flynn's age the same number of years ago. How old is Flynn's age now if the total of their current age is 126?
| |
Flynn |
Valen |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
9 u |
1 p |
9 u - 1 p |
126 |
Total age of Flynn and Valen today = 9 u + 1 p
9 u + 1 p = 126 --- (1)
The difference in Flynn's age and Valen's age remains the same.
9 u - 1 p = 1 p - 1 u
9 u + 1 u = 1 p + 1 p
10 u = 2 p
5 u = 1 p
Substitute 1 p = 5 u into (1).
9 u + 1 p = 126
9 u + 5 u = 126
14 u = 126
1 u = 126 ÷ 14 = 9
Flynn's age now
= 9 u
= 9 x 9
= 81
Answer(s): 81
