Nick's current age is 9 times as old as George's age years ago. Today, George's age is Nick's age the same number of years ago. How old is Nick's age now if the total of their current age is 112?
| |
Nick |
George |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
9 u |
1 p |
9 u - 1 p |
112 |
Total age of Nick and George today = 9 u + 1 p
9 u + 1 p = 112 --- (1)
The difference in Nick's age and George'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 = 112
9 u + 5 u = 112
14 u = 112
1 u = 112 ÷ 14 = 8
Nick's age now
= 9 u
= 9 x 8
= 72
Answer(s): 72
