Sabrina will be 71 years old in 17 years' time. Now, Kylie's age is 56 of Sabrina's age. What was Kylie's age when she was 4 years more than 75% of Sabrina's age?
| |
Kylie |
Sabrina |
Difference |
| Before |
3 p + 4 |
4 p |
1 p - 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 17 |
+ 17 |
|
| After |
5 u + 17 |
71 |
|
Sabrina's age in 17 years' time = 6 u + 17
6 u + 17 = 71
6 u = 71 - 17
6 u = 54
1 u = 54 ÷ 6 = 9
Difference between Sabrina's age and Kylie's age
= 1 u
= 9
75% =
75100 =
34 Difference in Sabrina's age and Kylie's age at first
= 4 p - (3 p + 4)
= 1 p - 4
The difference in age between Sabrina and Kylie remains unchanged.
1 p - 4 = 9
1 p = 9 + 4 = 13
Kylie's age when she was 4 years more than 75% of Sabrina's age
= 3 p + 4
= 3 x 13 + 4
= 39 + 4
= 43
Answer(s): 43
