Victoria will be 84 years old in 6 years' time. Now, Emily's age is 56 of Victoria's age. What was Emily's age when she was 3 years more than 75% of Victoria's age?
| |
Emily |
Victoria |
Difference |
| Before |
3 p + 3 |
4 p |
1 p - 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 6 |
+ 6 |
|
| After |
5 u + 6 |
84 |
|
Victoria's age in 6 years' time = 6 u + 6
6 u + 6 = 84
6 u = 84 - 6
6 u = 78
1 u = 78 ÷ 6 = 13
Difference between Victoria's age and Emily's age
= 1 u
= 13
75% =
75100 =
34 Difference in Victoria's age and Emily's age at first
= 4 p - (3 p + 3)
= 1 p - 3
The difference in age between Victoria and Emily remains unchanged.
1 p - 3 = 13
1 p = 13 + 3 = 16
Emily's age when she was 3 years more than 75% of Victoria's age
= 3 p + 3
= 3 x 16 + 3
= 48 + 3
= 51
Answer(s): 51
