Vanessa will be 49 years old in 9 years' time. Now, Abi's age is 45 of Vanessa's age. What was Abi's age when she was 5 years less than 75% of Vanessa's age?
| |
Abi |
Vanessa |
Difference |
| Before |
3 p - 5 |
4 p |
1 p + 5 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 9 |
+ 9 |
|
| After |
4 u + 9 |
49 |
|
Vanessa's age in 9 years' time = 5 u + 9
5 u + 9 = 49
5 u = 49 - 9
5 u = 40
1 u = 40 ÷ 5 = 8
Difference between Vanessa's age and Abi's age
= 1 u
= 8
75% =
75100 =
34 Difference in Vanessa's age and Abi's age at first
= 4 p - (3 p - 5)
= 1 p + 5
The difference in age between Vanessa and Abi remains unchanged.
1 p + 5 = 8
1 p = 8 - 5 = 3
Abi's age when she was 5 years less than 75% of Vanessa's age
= 3 p - 5
= 3 x 3 - 5
= 9 - 5
= 4
Answer(s): 4
