Roshel will be 83 years old in 8 years' time. Now, Kathy's age is 45 of Roshel's age. What was Kathy's age when she was 2 years more than 75% of Roshel's age?
| |
Kathy |
Roshel |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 8 |
+ 8 |
|
| After |
4 u + 8 |
83 |
|
Roshel's age in 8 years' time = 5 u + 8
5 u + 8 = 83
5 u = 83 - 8
5 u = 75
1 u = 75 ÷ 5 = 15
Difference between Roshel's age and Kathy's age
= 1 u
= 15
75% =
75100 =
34 Difference in Roshel's age and Kathy's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Roshel and Kathy remains unchanged.
1 p - 2 = 15
1 p = 15 + 2 = 17
Kathy's age when she was 2 years more than 75% of Roshel's age
= 3 p + 2
= 3 x 17 + 2
= 51 + 2
= 53
Answer(s): 53
