Shiyun will be 74 years old in 14 years' time. Now, Tiffany's age is 56 of Shiyun's age. What was Tiffany's age when she was 3 years more than 75% of Shiyun's age?
| |
Tiffany |
Shiyun |
Difference |
| Before |
3 p + 3 |
4 p |
1 p - 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 14 |
+ 14 |
|
| After |
5 u + 14 |
74 |
|
Shiyun's age in 14 years' time = 6 u + 14
6 u + 14 = 74
6 u = 74 - 14
6 u = 60
1 u = 60 ÷ 6 = 10
Difference between Shiyun's age and Tiffany's age
= 1 u
= 10
75% =
75100 =
34 Difference in Shiyun's age and Tiffany's age at first
= 4 p - (3 p + 3)
= 1 p - 3
The difference in age between Shiyun and Tiffany remains unchanged.
1 p - 3 = 10
1 p = 10 + 3 = 13
Tiffany's age when she was 3 years more than 75% of Shiyun's age
= 3 p + 3
= 3 x 13 + 3
= 39 + 3
= 42
Answer(s): 42
