Fanny will be 46 years old in 10 years' time. Now, Vanessa's age is 23 of Fanny's age. What was Vanessa's age when she was 4 years less than 90% of Fanny's age?
| |
Vanessa |
Fanny |
Difference |
| Before |
9 p - 4 |
10 p |
1 p + 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 10 |
+ 10 |
|
| After |
2 u + 10 |
46 |
|
Fanny's age in 10 years' time = 3 u + 10
3 u + 10 = 46
3 u = 46 - 10
3 u = 36
1 u = 36 ÷ 3 = 12
Difference between Fanny's age and Vanessa's age
= 1 u
= 12
90% =
90100 =
910 Difference in Fanny's age and Vanessa's age at first
= 10 p - (9 p - 4)
= 1 p + 4
The difference in age between Fanny and Vanessa remains unchanged.
1 p + 4 = 12
1 p = 12 - 4 = 8
Vanessa's age when she was 4 years less than 90% of Fanny's age
= 9 p - 4
= 9 x 8 - 4
= 72 - 4
= 68
Answer(s): 68
