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