Xavier's current age is 5 times as old as Perry's age years ago. Today, Perry's age is Xavier's age the same number of years ago. How old is Perry's age now if the total of their current age is 32?
| |
Xavier |
Perry |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
5 u |
1 p |
5 u - 1 p |
32 |
Total age of Xavier and Perry today = 5 u + 1 p
5 u + 1 p = 32 --- (1)
The difference in Xavier's age and Perry'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 = 32
5 u + 3 u = 32
8 u = 32
1 u = 32 ÷ 8 = 4
Xavier's age now
= 32 - 5 u
= 32 - 5 x 4
= 32 - 20
= 12
Answer(s): 12
