Victoria will be 43 years old in 7 years' time. Now, Risa's age is 56 of Victoria's age. What was Risa's age when she was 2 years more than 75% of Victoria's age?
| |
Risa |
Victoria |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 7 |
+ 7 |
|
| After |
5 u + 7 |
43 |
|
Victoria's age in 7 years' time = 6 u + 7
6 u + 7 = 43
6 u = 43 - 7
6 u = 36
1 u = 36 ÷ 6 = 6
Difference between Victoria's age and Risa's age
= 1 u
= 6
75% =
75100 =
34 Difference in Victoria's age and Risa's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Victoria and Risa remains unchanged.
1 p - 2 = 6
1 p = 6 + 2 = 8
Risa's age when she was 2 years more than 75% of Victoria's age
= 3 p + 2
= 3 x 8 + 2
= 24 + 2
= 26
Answer(s): 26
