Elyse will be 84 years old in 6 years' time. Now, Penelope's age is 56 of Elyse's age. What was Penelope's age when she was 2 years more than 80% of Elyse's age?
| |
Penelope |
Elyse |
Difference |
| Before |
4 p + 2 |
5 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 6 |
+ 6 |
|
| After |
5 u + 6 |
84 |
|
Elyse's age in 6 years' time = 6 u + 6
6 u + 6 = 84
6 u = 84 - 6
6 u = 78
1 u = 78 ÷ 6 = 13
Difference between Elyse's age and Penelope's age
= 1 u
= 13
80% =
80100 =
45 Difference in Elyse's age and Penelope's age at first
= 5 p - (4 p + 2)
= 1 p - 2
The difference in age between Elyse and Penelope remains unchanged.
1 p - 2 = 13
1 p = 13 + 2 = 15
Penelope's age when she was 2 years more than 80% of Elyse's age
= 4 p + 2
= 4 x 15 + 2
= 60 + 2
= 62
Answer(s): 62
