Japheth's current age is 5 times as old as Paul's age years ago. Today, Paul's age is Japheth's age the same number of years ago. How old is Japheth's age now if the total of their current age is 32?
| |
Japheth |
Paul |
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 Japheth and Paul today = 5 u + 1 p
5 u + 1 p = 32 --- (1)
The difference in Japheth's age and Paul'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
Japheth's age now
= 5 u
= 5 x 4
= 20
Answer(s): 20
