Fanny will be 75 years old in 15 years' time. Now, Tiffany's age is 56 of Fanny's age. What was Tiffany's age when she was 4 years more than 75% of Fanny's age?
| |
Tiffany |
Fanny |
Difference |
| Before |
3 p + 4 |
4 p |
1 p - 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 15 |
+ 15 |
|
| After |
5 u + 15 |
75 |
|
Fanny's age in 15 years' time = 6 u + 15
6 u + 15 = 75
6 u = 75 - 15
6 u = 60
1 u = 60 ÷ 6 = 10
Difference between Fanny's age and Tiffany's age
= 1 u
= 10
75% =
75100 =
34 Difference in Fanny's age and Tiffany's age at first
= 4 p - (3 p + 4)
= 1 p - 4
The difference in age between Fanny and Tiffany remains unchanged.
1 p - 4 = 10
1 p = 10 + 4 = 14
Tiffany's age when she was 4 years more than 75% of Fanny's age
= 3 p + 4
= 3 x 14 + 4
= 42 + 4
= 46
Answer(s): 46
