Japheth's current age is 9 times as old as Vaidev's age years ago. Today, Vaidev'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 112?
|
Japheth |
Vaidev |
Difference |
Total |
Before |
1 p |
1 u |
1 p - 1 u |
|
Change |
+ ? |
+ ? |
|
|
After |
9 u |
1 p |
9 u - 1 p |
112 |
Total age of Japheth and Vaidev today = 9 u + 1 p
9 u + 1 p = 112 --- (1)
The difference in Japheth's age and Vaidev'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 = 112
9 u + 5 u = 112
14 u = 112
1 u = 112 ÷ 14 = 8
Japheth's age now
= 9 u
= 9 x 8
= 72
Answer(s): 72