Gwen will be 68 years old in 8 years' time. Now, Erika's age is 45 of Gwen's age. What was Erika's age when she was 2 years more than 75% of Gwen's age?
| |
Erika |
Gwen |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 8 |
+ 8 |
|
| After |
4 u + 8 |
68 |
|
Gwen's age in 8 years' time = 5 u + 8
5 u + 8 = 68
5 u = 68 - 8
5 u = 60
1 u = 60 ÷ 5 = 12
Difference between Gwen's age and Erika's age
= 1 u
= 12
75% =
75100 =
34 Difference in Gwen's age and Erika's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Gwen and Erika remains unchanged.
1 p - 2 = 12
1 p = 12 + 2 = 14
Erika's age when she was 2 years more than 75% of Gwen's age
= 3 p + 2
= 3 x 14 + 2
= 42 + 2
= 44
Answer(s): 44
