Daniel's current age is 5 times as old as Owen's age years ago. Today, Owen's age is Daniel's age the same number of years ago. How old is Owen's age now if the total of their current age is 48?
| |
Daniel |
Owen |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
5 u |
1 p |
5 u - 1 p |
48 |
Total age of Daniel and Owen today = 5 u + 1 p
5 u + 1 p = 48 --- (1)
The difference in Daniel's age and Owen'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 = 48
5 u + 3 u = 48
8 u = 48
1 u = 48 ÷ 8 = 6
Daniel's age now
= 48 - 5 u
= 48 - 5 x 6
= 48 - 30
= 18
Answer(s): 18
