Harry's current age is 3 times as old as Asher's age years ago. Today, Asher's age is Harry's age the same number of years ago. How old is Asher's age now if the total of their current age is 35?
| |
Harry |
Asher |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
3 u |
1 p |
3 u - 1 p |
35 |
Total age of Harry and Asher today = 3 u + 1 p
3 u + 1 p = 35 --- (1)
The difference in Harry's age and Asher's age remains the same.
3 u - 1 p = 1 p - 1 u
3 u + 1 u = 1 p + 1 p
4 u = 2 p
2 u = 1 p
Substitute 1 p = 2 u into (1).
3 u + 1 p = 35
3 u + 2 u = 35
5 u = 35
1 u = 35 ÷ 5 = 7
Harry's age now
= 35 - 3 u
= 35 - 3 x 7
= 35 - 21
= 14
Answer(s): 14
