Erika will be 94 years old in 10 years' time. Now, Winnie's age is 56 of Erika's age. What was Winnie's age when she was 6 years more than 75% of Erika's age?
| |
Winnie |
Erika |
Difference |
| Before |
3 p + 6 |
4 p |
1 p - 6 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 10 |
+ 10 |
|
| After |
5 u + 10 |
94 |
|
Erika's age in 10 years' time = 6 u + 10
6 u + 10 = 94
6 u = 94 - 10
6 u = 84
1 u = 84 ÷ 6 = 14
Difference between Erika's age and Winnie's age
= 1 u
= 14
75% =
75100 =
34 Difference in Erika's age and Winnie's age at first
= 4 p - (3 p + 6)
= 1 p - 6
The difference in age between Erika and Winnie remains unchanged.
1 p - 6 = 14
1 p = 14 + 6 = 20
Winnie's age when she was 6 years more than 75% of Erika's age
= 3 p + 6
= 3 x 20 + 6
= 60 + 6
= 66
Answer(s): 66
