Oliver's current age is 5 times as old as Zane's age years ago. Today, Zane's age is Oliver's age the same number of years ago. How old is Zane's age now if the total of their current age is 24?
| |
Oliver |
Zane |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
5 u |
1 p |
5 u - 1 p |
24 |
Total age of Oliver and Zane today = 5 u + 1 p
5 u + 1 p = 24 --- (1)
The difference in Oliver's age and Zane'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 = 24
5 u + 3 u = 24
8 u = 24
1 u = 24 ÷ 8 = 3
Oliver's age now
= 24 - 5 u
= 24 - 5 x 3
= 24 - 15
= 9
Answer(s): 9
