Dana will be 51 years old in 15 years' time. Now, Victoria's age is 23 of Dana's age. What was Victoria's age when she was 5 years less than 75% of Dana's age?
| |
Victoria |
Dana |
Difference |
| Before |
3 p - 5 |
4 p |
1 p + 5 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 15 |
+ 15 |
|
| After |
2 u + 15 |
51 |
|
Dana's age in 15 years' time = 3 u + 15
3 u + 15 = 51
3 u = 51 - 15
3 u = 36
1 u = 36 ÷ 3 = 12
Difference between Dana's age and Victoria's age
= 1 u
= 12
75% =
75100 =
34 Difference in Dana's age and Victoria's age at first
= 4 p - (3 p - 5)
= 1 p + 5
The difference in age between Dana and Victoria remains unchanged.
1 p + 5 = 12
1 p = 12 - 5 = 7
Victoria's age when she was 5 years less than 75% of Dana's age
= 3 p - 5
= 3 x 7 - 5
= 21 - 5
= 16
Answer(s): 16
