Nick's current age is 7 times as old as Asher's age years ago. Today, Asher's age is Nick's age the same number of years ago. How old is Asher's age now if the total of their current age is 77?
| |
Nick |
Asher |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
77 |
Total age of Nick and Asher today = 7 u + 1 p
7 u + 1 p = 77 --- (1)
The difference in Nick's age and Asher'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 = 77
7 u + 4 u = 77
11 u = 77
1 u = 77 ÷ 11 = 7
Nick's age now
= 77 - 7 u
= 77 - 7 x 7
= 77 - 49
= 28
Answer(s): 28
