Kylie will be 67 years old in 13 years' time. Now, Joelle's age is 56 of Kylie's age. What was Joelle's age when she was 4 years more than 75% of Kylie's age?
| |
Joelle |
Kylie |
Difference |
| Before |
3 p + 4 |
4 p |
1 p - 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 13 |
+ 13 |
|
| After |
5 u + 13 |
67 |
|
Kylie's age in 13 years' time = 6 u + 13
6 u + 13 = 67
6 u = 67 - 13
6 u = 54
1 u = 54 ÷ 6 = 9
Difference between Kylie's age and Joelle's age
= 1 u
= 9
75% =
75100 =
34 Difference in Kylie's age and Joelle's age at first
= 4 p - (3 p + 4)
= 1 p - 4
The difference in age between Kylie and Joelle remains unchanged.
1 p - 4 = 9
1 p = 9 + 4 = 13
Joelle's age when she was 4 years more than 75% of Kylie's age
= 3 p + 4
= 3 x 13 + 4
= 39 + 4
= 43
Answer(s): 43
