Gwen will be 28 years old in 10 years' time. Now, Victoria's age is 23 of Gwen's age. What was Victoria's age when she was 4 years less than 75% of Gwen's age?
|
Victoria |
Gwen |
Difference |
Before |
3 p - 4 |
4 p |
1 p + 4 |
Change 1 |
+ ? |
+ ? |
|
After 1 (Now) |
2 u |
3 u |
1 u |
Change 2 |
+ 10 |
+ 10 |
|
After |
2 u + 10 |
28 |
|
Gwen's age in 10 years' time = 3 u + 10
3 u + 10 = 28
3 u = 28 - 10
3 u = 18
1 u = 18 ÷ 3 = 6
Difference between Gwen's age and Victoria's age
= 1 u
= 6
75% =
75100 =
34 Difference in Gwen's age and Victoria's age at first
= 4 p - (3 p - 4)
= 1 p + 4
The difference in age between Gwen and Victoria remains unchanged.
1 p + 4 = 6
1 p = 6 - 4 = 2
Victoria's age when she was 4 years less than 75% of Gwen's age
= 3 p - 4
= 3 x 2 - 4
= 6 - 4
= 2
Answer(s): 2