Reggie's current age is 9 times as old as Michael's age years ago. Today, Michael's age is Reggie's age the same number of years ago. How old is Reggie's age now if the total of their current age is 42?
| |
Reggie |
Michael |
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 Reggie and Michael today = 9 u + 1 p
9 u + 1 p = 42 --- (1)
The difference in Reggie's age and Michael'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
Reggie's age now
= 9 u
= 9 x 3
= 27
Answer(s): 27
