Victoria will be 70 years old in 16 years' time. Now, Winnie's age is 56 of Victoria's age. What was Winnie's age when she was 4 years more than 75% of Victoria's age?
| |
Winnie |
Victoria |
Difference |
| Before |
3 p + 4 |
4 p |
1 p - 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 16 |
+ 16 |
|
| After |
5 u + 16 |
70 |
|
Victoria's age in 16 years' time = 6 u + 16
6 u + 16 = 70
6 u = 70 - 16
6 u = 54
1 u = 54 ÷ 6 = 9
Difference between Victoria's age and Winnie's age
= 1 u
= 9
75% =
75100 =
34 Difference in Victoria's age and Winnie's age at first
= 4 p - (3 p + 4)
= 1 p - 4
The difference in age between Victoria and Winnie remains unchanged.
1 p - 4 = 9
1 p = 9 + 4 = 13
Winnie's age when she was 4 years more than 75% of Victoria's age
= 3 p + 4
= 3 x 13 + 4
= 39 + 4
= 43
Answer(s): 43
