Penelope will be 73 years old in 7 years' time. Now, Kylie's age is 56 of Penelope's age. What was Kylie's age when she was 2 years more than 80% of Penelope's age?
| |
Kylie |
Penelope |
Difference |
| Before |
4 p + 2 |
5 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 7 |
+ 7 |
|
| After |
5 u + 7 |
73 |
|
Penelope's age in 7 years' time = 6 u + 7
6 u + 7 = 73
6 u = 73 - 7
6 u = 66
1 u = 66 ÷ 6 = 11
Difference between Penelope's age and Kylie's age
= 1 u
= 11
80% =
80100 =
45 Difference in Penelope's age and Kylie's age at first
= 5 p - (4 p + 2)
= 1 p - 2
The difference in age between Penelope and Kylie remains unchanged.
1 p - 2 = 11
1 p = 11 + 2 = 13
Kylie's age when she was 2 years more than 80% of Penelope's age
= 4 p + 2
= 4 x 13 + 2
= 52 + 2
= 54
Answer(s): 54
