Wesley's current age is 5 times as old as Glen's age years ago. Today, Glen's age is Wesley's age the same number of years ago. How old is Glen's age now if the total of their current age is 48?
| |
Wesley |
Glen |
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 Wesley and Glen today = 5 u + 1 p
5 u + 1 p = 48 --- (1)
The difference in Wesley's age and Glen'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
Wesley's age now
= 48 - 5 u
= 48 - 5 x 6
= 48 - 30
= 18
Answer(s): 18
