Vanessa will be 71 years old in 5 years' time. Now, Pamela's age is 56 of Vanessa's age. What was Pamela's age when she was 2 years more than 75% of Vanessa's age?
| |
Pamela |
Vanessa |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 5 |
+ 5 |
|
| After |
5 u + 5 |
71 |
|
Vanessa's age in 5 years' time = 6 u + 5
6 u + 5 = 71
6 u = 71 - 5
6 u = 66
1 u = 66 ÷ 6 = 11
Difference between Vanessa's age and Pamela's age
= 1 u
= 11
75% =
75100 =
34 Difference in Vanessa's age and Pamela's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Vanessa and Pamela remains unchanged.
1 p - 2 = 11
1 p = 11 + 2 = 13
Pamela's age when she was 2 years more than 75% of Vanessa's age
= 3 p + 2
= 3 x 13 + 2
= 39 + 2
= 41
Answer(s): 41
