Kathy will be 78 years old in 6 years' time. Now, Emma's age is 56 of Kathy's age. What was Emma's age when she was 4 years more than 75% of Kathy's age?
| |
Emma |
Kathy |
Difference |
| Before |
3 p + 4 |
4 p |
1 p - 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 6 |
+ 6 |
|
| After |
5 u + 6 |
78 |
|
Kathy's age in 6 years' time = 6 u + 6
6 u + 6 = 78
6 u = 78 - 6
6 u = 72
1 u = 72 ÷ 6 = 12
Difference between Kathy's age and Emma's age
= 1 u
= 12
75% =
75100 =
34 Difference in Kathy's age and Emma's age at first
= 4 p - (3 p + 4)
= 1 p - 4
The difference in age between Kathy and Emma remains unchanged.
1 p - 4 = 12
1 p = 12 + 4 = 16
Emma's age when she was 4 years more than 75% of Kathy's age
= 3 p + 4
= 3 x 16 + 4
= 48 + 4
= 52
Answer(s): 52
