Lee's current age is 5 times as old as Liam's age years ago. Today, Liam's age is Lee's age the same number of years ago. How old is Liam's age now if the total of their current age is 32?
| |
Lee |
Liam |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
5 u |
1 p |
5 u - 1 p |
32 |
Total age of Lee and Liam today = 5 u + 1 p
5 u + 1 p = 32 --- (1)
The difference in Lee's age and Liam's age remains the same.
5 u - 1 p = 1 p - 1 u
5 u + 1 u = 1 p + 1 p
6 u = 2 p
3 u = 1 p
Substitute 1 p = 3 u into (1).
5 u + 1 p = 32
5 u + 3 u = 32
8 u = 32
1 u = 32 ÷ 8 = 4
Lee's age now
= 32 - 5 u
= 32 - 5 x 4
= 32 - 20
= 12
Answer(s): 12
