Vanessa will be 76 years old in 10 years' time. Now, Shiyun's age is 56 of Vanessa's age. What was Shiyun's age when she was 6 years less than 90% of Vanessa's age?
| |
Shiyun |
Vanessa |
Difference |
| Before |
9 p - 6 |
10 p |
1 p + 6 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 10 |
+ 10 |
|
| After |
5 u + 10 |
76 |
|
Vanessa'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 Vanessa's age and Shiyun's age
= 1 u
= 11
90% =
90100 =
910 Difference in Vanessa's age and Shiyun's age at first
= 10 p - (9 p - 6)
= 1 p + 6
The difference in age between Vanessa and Shiyun remains unchanged.
1 p + 6 = 11
1 p = 11 - 6 = 5
Shiyun's age when she was 6 years less than 90% of Vanessa's age
= 9 p - 6
= 9 x 5 - 6
= 45 - 6
= 39
Answer(s): 39
