Fred's current age is 7 times as old as Glen's age years ago. Today, Glen's age is Fred's age the same number of years ago. How old is Glen's age now if the total of their current age is 88?
| |
Fred |
Glen |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
88 |
Total age of Fred and Glen today = 7 u + 1 p
7 u + 1 p = 88 --- (1)
The difference in Fred's age and Glen'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 = 88
7 u + 4 u = 88
11 u = 88
1 u = 88 ÷ 11 = 8
Fred's age now
= 88 - 7 u
= 88 - 7 x 8
= 88 - 56
= 32
Answer(s): 32
