Flynn's current age is 3 times as old as Tim's age years ago. Today, Tim's age is Flynn's age the same number of years ago. How old is Tim's age now if the total of their current age is 20?
| |
Flynn |
Tim |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
3 u |
1 p |
3 u - 1 p |
20 |
Total age of Flynn and Tim today = 3 u + 1 p
3 u + 1 p = 20 --- (1)
The difference in Flynn's age and Tim's age remains the same.
3 u - 1 p = 1 p - 1 u
3 u + 1 u = 1 p + 1 p
4 u = 2 p
2 u = 1 p
Substitute 1 p = 2 u into (1).
3 u + 1 p = 20
3 u + 2 u = 20
5 u = 20
1 u = 20 ÷ 5 = 4
Flynn's age now
= 20 - 3 u
= 20 - 3 x 4
= 20 - 12
= 8
Answer(s): 8
