Harry's current age is 9 times as old as Zane's age years ago. Today, Zane's age is Harry's age the same number of years ago. How old is Harry's age now if the total of their current age is 70?
| |
Harry |
Zane |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
9 u |
1 p |
9 u - 1 p |
70 |
Total age of Harry and Zane today = 9 u + 1 p
9 u + 1 p = 70 --- (1)
The difference in Harry's age and Zane'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 = 70
9 u + 5 u = 70
14 u = 70
1 u = 70 ÷ 14 = 5
Harry's age now
= 9 u
= 9 x 5
= 45
Answer(s): 45
