George's current age is 7 times as old as Reggie's age years ago. Today, Reggie's age is George's age the same number of years ago. How old is Reggie's age now if the total of their current age is 22?
| |
George |
Reggie |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
22 |
Total age of George and Reggie today = 7 u + 1 p
7 u + 1 p = 22 --- (1)
The difference in George's age and Reggie'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 = 22
7 u + 4 u = 22
11 u = 22
1 u = 22 ÷ 11 = 2
George's age now
= 22 - 7 u
= 22 - 7 x 2
= 22 - 14
= 8
Answer(s): 8
