Gwen will be 55 years old in 19 years' time. Now, Esther's age is 34 of Gwen's age. What was Esther's age when she was 2 years less than 80% of Gwen's age?
| |
Esther |
Gwen |
Difference |
| Before |
4 p - 2 |
5 p |
1 p + 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
3 u |
4 u |
1 u |
| Change 2 |
+ 19 |
+ 19 |
|
| After |
3 u + 19 |
55 |
|
Gwen's age in 19 years' time = 4 u + 19
4 u + 19 = 55
4 u = 55 - 19
4 u = 36
1 u = 36 ÷ 4 = 9
Difference between Gwen's age and Esther's age
= 1 u
= 9
80% =
80100 =
45 Difference in Gwen's age and Esther's age at first
= 5 p - (4 p - 2)
= 1 p + 2
The difference in age between Gwen and Esther remains unchanged.
1 p + 2 = 9
1 p = 9 - 2 = 7
Esther's age when she was 2 years less than 80% of Gwen's age
= 4 p - 2
= 4 x 7 - 2
= 28 - 2
= 26
Answer(s): 26
