Gwen will be 36 years old in 8 years' time. Now, Linda's age is 34 of Gwen's age. What was Linda's age when she was 2 years less than 80% of Gwen's age?
| |
Linda |
Gwen |
Difference |
| Before |
4 p - 2 |
5 p |
1 p + 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
3 u |
4 u |
1 u |
| Change 2 |
+ 8 |
+ 8 |
|
| After |
3 u + 8 |
36 |
|
Gwen's age in 8 years' time = 4 u + 8
4 u + 8 = 36
4 u = 36 - 8
4 u = 28
1 u = 28 ÷ 4 = 7
Difference between Gwen's age and Linda's age
= 1 u
= 7
80% =
80100 =
45 Difference in Gwen's age and Linda's age at first
= 5 p - (4 p - 2)
= 1 p + 2
The difference in age between Gwen and Linda remains unchanged.
1 p + 2 = 7
1 p = 7 - 2 = 5
Linda's age when she was 2 years less than 80% of Gwen's age
= 4 p - 2
= 4 x 5 - 2
= 20 - 2
= 18
Answer(s): 18
