Esther will be 86 years old in 2 years' time. Now, Erika's age is 56 of Esther's age. What was Erika's age when she was 4 years more than 75% of Esther's age?
| |
Erika |
Esther |
Difference |
| Before |
3 p + 4 |
4 p |
1 p - 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 2 |
+ 2 |
|
| After |
5 u + 2 |
86 |
|
Esther's age in 2 years' time = 6 u + 2
6 u + 2 = 86
6 u = 86 - 2
6 u = 84
1 u = 84 ÷ 6 = 14
Difference between Esther's age and Erika's age
= 1 u
= 14
75% =
75100 =
34 Difference in Esther's age and Erika's age at first
= 4 p - (3 p + 4)
= 1 p - 4
The difference in age between Esther and Erika remains unchanged.
1 p - 4 = 14
1 p = 14 + 4 = 18
Erika's age when she was 4 years more than 75% of Esther's age
= 3 p + 4
= 3 x 18 + 4
= 54 + 4
= 58
Answer(s): 58
