Emma will be 76 years old in 10 years' time. Now, Pamela's age is 56 of Emma's age. What was Pamela's age when she was 2 years more than 80% of Emma's age?
| |
Pamela |
Emma |
Difference |
| Before |
4 p + 2 |
5 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 10 |
+ 10 |
|
| After |
5 u + 10 |
76 |
|
Emma's age in 10 years' time = 6 u + 10
6 u + 10 = 76
6 u = 76 - 10
6 u = 66
1 u = 66 ÷ 6 = 11
Difference between Emma's age and Pamela's age
= 1 u
= 11
80% =
80100 =
45 Difference in Emma's age and Pamela's age at first
= 5 p - (4 p + 2)
= 1 p - 2
The difference in age between Emma and Pamela remains unchanged.
1 p - 2 = 11
1 p = 11 + 2 = 13
Pamela's age when she was 2 years more than 80% of Emma's age
= 4 p + 2
= 4 x 13 + 2
= 52 + 2
= 54
Answer(s): 54
