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