Luke's current age is 9 times as old as Cole's age years ago. Today, Cole's age is Luke's age the same number of years ago. How old is Luke's age now if the total of their current age is 42?
| |
Luke |
Cole |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
9 u |
1 p |
9 u - 1 p |
42 |
Total age of Luke and Cole today = 9 u + 1 p
9 u + 1 p = 42 --- (1)
The difference in Luke's age and Cole's age remains the same.
9 u - 1 p = 1 p - 1 u
9 u + 1 u = 1 p + 1 p
10 u = 2 p
5 u = 1 p
Substitute 1 p = 5 u into (1).
9 u + 1 p = 42
9 u + 5 u = 42
14 u = 42
1 u = 42 ÷ 14 = 3
Luke's age now
= 9 u
= 9 x 3
= 27
Answer(s): 27
