Linda will be 63 years old in 9 years' time. Now, Pamela's age is 56 of Linda's age. What was Pamela's age when she was 3 years more than 75% of Linda's age?
| |
Pamela |
Linda |
Difference |
| Before |
3 p + 3 |
4 p |
1 p - 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 9 |
+ 9 |
|
| After |
5 u + 9 |
63 |
|
Linda's age in 9 years' time = 6 u + 9
6 u + 9 = 63
6 u = 63 - 9
6 u = 54
1 u = 54 ÷ 6 = 9
Difference between Linda's age and Pamela's age
= 1 u
= 9
75% =
75100 =
34 Difference in Linda's age and Pamela's age at first
= 4 p - (3 p + 3)
= 1 p - 3
The difference in age between Linda and Pamela remains unchanged.
1 p - 3 = 9
1 p = 9 + 3 = 12
Pamela's age when she was 3 years more than 75% of Linda's age
= 3 p + 3
= 3 x 12 + 3
= 36 + 3
= 39
Answer(s): 39
