Fiona will be 35 years old in 5 years' time. Now, Ivory's age is 12 of Fiona's age. What was Ivory's age when she was 9 years less than 75% of Fiona's age?
| |
Ivory |
Fiona |
Difference |
| Before |
3 p - 9 |
4 p |
1 p + 9 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 5 |
+ 5 |
|
| After |
1 u + 5 |
35 |
|
Fiona's age in 5 years' time = 2 u + 5
2 u + 5 = 35
2 u = 35 - 5
2 u = 30
1 u = 30 ÷ 2 = 15
Difference between Fiona's age and Ivory's age
= 1 u
= 15
75% =
75100 =
34 Difference in Fiona's age and Ivory's age at first
= 4 p - (3 p - 9)
= 1 p + 9
The difference in age between Fiona and Ivory remains unchanged.
1 p + 9 = 15
1 p = 15 - 9 = 6
Ivory's age when she was 9 years less than 75% of Fiona's age
= 3 p - 9
= 3 x 6 - 9
= 18 - 9
= 9
Answer(s): 9
