Japheth's current age is 9 times as old as Flynn's age years ago. Today, Flynn'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 42?
| |
Japheth |
Flynn |
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 Japheth and Flynn today = 9 u + 1 p
9 u + 1 p = 42 --- (1)
The difference in Japheth's age and Flynn'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
Japheth's age now
= 9 u
= 9 x 3
= 27
Answer(s): 27
