Wendy will be 95 years old in 11 years' time. Now, Shiyun's age is 56 of Wendy's age. What was Shiyun's age when she was 5 years more than 75% of Wendy's age?
| |
Shiyun |
Wendy |
Difference |
| Before |
3 p + 5 |
4 p |
1 p - 5 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 11 |
+ 11 |
|
| After |
5 u + 11 |
95 |
|
Wendy's age in 11 years' time = 6 u + 11
6 u + 11 = 95
6 u = 95 - 11
6 u = 84
1 u = 84 ÷ 6 = 14
Difference between Wendy's age and Shiyun's age
= 1 u
= 14
75% =
75100 =
34 Difference in Wendy's age and Shiyun's age at first
= 4 p - (3 p + 5)
= 1 p - 5
The difference in age between Wendy and Shiyun remains unchanged.
1 p - 5 = 14
1 p = 14 + 5 = 19
Shiyun's age when she was 5 years more than 75% of Wendy's age
= 3 p + 5
= 3 x 19 + 5
= 57 + 5
= 62
Answer(s): 62
