Reggie's current age is 7 times as old as Brandon's age years ago. Today, Brandon'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 66?
| |
Reggie |
Brandon |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
66 |
Total age of Reggie and Brandon today = 7 u + 1 p
7 u + 1 p = 66 --- (1)
The difference in Reggie's age and Brandon's age remains the same.
7 u - 1 p = 1 p - 1 u
7 u + 1 u = 1 p + 1 p
8 u = 2 p
4 u = 1 p
Substitute 1 p = 4 u into (1).
7 u + 1 p = 66
7 u + 4 u = 66
11 u = 66
1 u = 66 ÷ 11 = 6
Reggie's age now
= 7 u
= 7 x 6
= 42
Answer(s): 42
