Gwen will be 63 years old in 11 years' time. Now, Nora's age is 34 of Gwen's age. What was Nora's age when she was 2 years less than 90% of Gwen's age?
| |
Nora |
Gwen |
Difference |
| Before |
9 p - 2 |
10 p |
1 p + 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
3 u |
4 u |
1 u |
| Change 2 |
+ 11 |
+ 11 |
|
| After |
3 u + 11 |
63 |
|
Gwen's age in 11 years' time = 4 u + 11
4 u + 11 = 63
4 u = 63 - 11
4 u = 52
1 u = 52 ÷ 4 = 13
Difference between Gwen's age and Nora's age
= 1 u
= 13
90% =
90100 =
910 Difference in Gwen's age and Nora's age at first
= 10 p - (9 p - 2)
= 1 p + 2
The difference in age between Gwen and Nora remains unchanged.
1 p + 2 = 13
1 p = 13 - 2 = 11
Nora's age when she was 2 years less than 90% of Gwen's age
= 9 p - 2
= 9 x 11 - 2
= 99 - 2
= 97
Answer(s): 97
