Jenson's current age is 5 times as old as Rael's age years ago. Today, Rael's age is Jenson's age the same number of years ago. How old is Rael's age now if the total of their current age is 72?
| |
Jenson |
Rael |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
5 u |
1 p |
5 u - 1 p |
72 |
Total age of Jenson and Rael today = 5 u + 1 p
5 u + 1 p = 72 --- (1)
The difference in Jenson's age and Rael'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 = 72
5 u + 3 u = 72
8 u = 72
1 u = 72 ÷ 8 = 9
Jenson's age now
= 72 - 5 u
= 72 - 5 x 9
= 72 - 45
= 27
Answer(s): 27
