Dylan's current age is 5 times as old as Paul's age years ago. Today, Paul's age is Dylan's age the same number of years ago. How old is Paul's age now if the total of their current age is 64?
| |
Dylan |
Paul |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
5 u |
1 p |
5 u - 1 p |
64 |
Total age of Dylan and Paul today = 5 u + 1 p
5 u + 1 p = 64 --- (1)
The difference in Dylan's age and Paul's age remains the same.
5 u - 1 p = 1 p - 1 u
5 u + 1 u = 1 p + 1 p
6 u = 2 p
3 u = 1 p
Substitute 1 p = 3 u into (1).
5 u + 1 p = 64
5 u + 3 u = 64
8 u = 64
1 u = 64 ÷ 8 = 8
Dylan's age now
= 64 - 5 u
= 64 - 5 x 8
= 64 - 40
= 24
Answer(s): 24
