Emily will be 41 years old in 2 years' time. Now, Pamela's age is 23 of Emily's age. What was Pamela's age when she was 8 years less than 90% of Emily's age?
| |
Pamela |
Emily |
Difference |
| Before |
9 p - 8 |
10 p |
1 p + 8 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 2 |
+ 2 |
|
| After |
2 u + 2 |
41 |
|
Emily's age in 2 years' time = 3 u + 2
3 u + 2 = 41
3 u = 41 - 2
3 u = 39
1 u = 39 ÷ 3 = 13
Difference between Emily's age and Pamela's age
= 1 u
= 13
90% =
90100 =
910 Difference in Emily's age and Pamela's age at first
= 10 p - (9 p - 8)
= 1 p + 8
The difference in age between Emily and Pamela remains unchanged.
1 p + 8 = 13
1 p = 13 - 8 = 5
Pamela's age when she was 8 years less than 90% of Emily's age
= 9 p - 8
= 9 x 5 - 8
= 45 - 8
= 37
Answer(s): 37
