Penelope will be 58 years old in 13 years' time. Now, Olivia's age is 45 of Penelope's age. What was Olivia's age when she was 2 years more than 75% of Penelope's age?
| |
Olivia |
Penelope |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 13 |
+ 13 |
|
| After |
4 u + 13 |
58 |
|
Penelope's age in 13 years' time = 5 u + 13
5 u + 13 = 58
5 u = 58 - 13
5 u = 45
1 u = 45 ÷ 5 = 9
Difference between Penelope's age and Olivia's age
= 1 u
= 9
75% =
75100 =
34 Difference in Penelope's age and Olivia's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Penelope and Olivia remains unchanged.
1 p - 2 = 9
1 p = 9 + 2 = 11
Olivia's age when she was 2 years more than 75% of Penelope's age
= 3 p + 2
= 3 x 11 + 2
= 33 + 2
= 35
Answer(s): 35
