Tiffany will be 76 years old in 16 years' time. Now, Pamela's age is 45 of Tiffany's age. What was Pamela's age when she was 2 years more than 75% of Tiffany's age?
| |
Pamela |
Tiffany |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 16 |
+ 16 |
|
| After |
4 u + 16 |
76 |
|
Tiffany's age in 16 years' time = 5 u + 16
5 u + 16 = 76
5 u = 76 - 16
5 u = 60
1 u = 60 ÷ 5 = 12
Difference between Tiffany's age and Pamela's age
= 1 u
= 12
75% =
75100 =
34 Difference in Tiffany's age and Pamela's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Tiffany and Pamela remains unchanged.
1 p - 2 = 12
1 p = 12 + 2 = 14
Pamela's age when she was 2 years more than 75% of Tiffany's age
= 3 p + 2
= 3 x 14 + 2
= 42 + 2
= 44
Answer(s): 44
