Zoe will be 94 years old in 10 years' time. Now, Kylie's age is 56 of Zoe's age. What was Kylie's age when she was 2 years more than 80% of Zoe's age?
| |
Kylie |
Zoe |
Difference |
| Before |
4 p + 2 |
5 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 10 |
+ 10 |
|
| After |
5 u + 10 |
94 |
|
Zoe'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 Zoe's age and Kylie's age
= 1 u
= 14
80% =
80100 =
45 Difference in Zoe's age and Kylie's age at first
= 5 p - (4 p + 2)
= 1 p - 2
The difference in age between Zoe and Kylie remains unchanged.
1 p - 2 = 14
1 p = 14 + 2 = 16
Kylie's age when she was 2 years more than 80% of Zoe's age
= 4 p + 2
= 4 x 16 + 2
= 64 + 2
= 66
Answer(s): 66
