Vanessa will be 58 years old in 10 years' time. Now, Gwen's age is 56 of Vanessa's age. What was Gwen's age when she was 4 years less than 90% of Vanessa's age?
| |
Gwen |
Vanessa |
Difference |
| Before |
9 p - 4 |
10 p |
1 p + 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 10 |
+ 10 |
|
| After |
5 u + 10 |
58 |
|
Vanessa's age in 10 years' time = 6 u + 10
6 u + 10 = 58
6 u = 58 - 10
6 u = 48
1 u = 48 ÷ 6 = 8
Difference between Vanessa's age and Gwen's age
= 1 u
= 8
90% =
90100 =
910 Difference in Vanessa's age and Gwen's age at first
= 10 p - (9 p - 4)
= 1 p + 4
The difference in age between Vanessa and Gwen remains unchanged.
1 p + 4 = 8
1 p = 8 - 4 = 4
Gwen's age when she was 4 years less than 90% of Vanessa's age
= 9 p - 4
= 9 x 4 - 4
= 36 - 4
= 32
Answer(s): 32
