Simon's current age is 5 times as old as Rael's age years ago. Today, Rael's age is Simon's age the same number of years ago. How old is Simon's age now if the total of their current age is 32?
| |
Simon |
Rael |
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 Simon and Rael today = 5 u + 1 p
5 u + 1 p = 32 --- (1)
The difference in Simon'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 = 32
5 u + 3 u = 32
8 u = 32
1 u = 32 ÷ 8 = 4
Simon's age now
= 5 u
= 5 x 4
= 20
Answer(s): 20
