Pamela will be 85 years old in 7 years' time. Now, Yoko's age is 56 of Pamela's age. What was Yoko's age when she was 3 years less than 90% of Pamela's age?
| |
Yoko |
Pamela |
Difference |
| Before |
9 p - 3 |
10 p |
1 p + 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 7 |
+ 7 |
|
| After |
5 u + 7 |
85 |
|
Pamela's age in 7 years' time = 6 u + 7
6 u + 7 = 85
6 u = 85 - 7
6 u = 78
1 u = 78 ÷ 6 = 13
Difference between Pamela's age and Yoko's age
= 1 u
= 13
90% =
90100 =
910 Difference in Pamela's age and Yoko's age at first
= 10 p - (9 p - 3)
= 1 p + 3
The difference in age between Pamela and Yoko remains unchanged.
1 p + 3 = 13
1 p = 13 - 3 = 10
Yoko's age when she was 3 years less than 90% of Pamela's age
= 9 p - 3
= 9 x 10 - 3
= 90 - 3
= 87
Answer(s): 87
