Glen's current age is 7 times as old as Owen's age years ago. Today, Owen's age is Glen's age the same number of years ago. How old is Glen's age now if the total of their current age is 44?
| |
Glen |
Owen |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
44 |
Total age of Glen and Owen today = 7 u + 1 p
7 u + 1 p = 44 --- (1)
The difference in Glen's age and Owen's age remains the same.
7 u - 1 p = 1 p - 1 u
7 u + 1 u = 1 p + 1 p
8 u = 2 p
4 u = 1 p
Substitute 1 p = 4 u into (1).
7 u + 1 p = 44
7 u + 4 u = 44
11 u = 44
1 u = 44 ÷ 11 = 4
Glen's age now
= 7 u
= 7 x 4
= 28
Answer(s): 28
