Julie will be 44 years old in 16 years' time. Now, Gillian's age is 12 of Julie's age. What was Gillian's age when she was 3 years less than 75% of Julie's age?
| |
Gillian |
Julie |
Difference |
| Before |
3 p - 3 |
4 p |
1 p + 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 16 |
+ 16 |
|
| After |
1 u + 16 |
44 |
|
Julie's age in 16 years' time = 2 u + 16
2 u + 16 = 44
2 u = 44 - 16
2 u = 28
1 u = 28 ÷ 2 = 14
Difference between Julie's age and Gillian's age
= 1 u
= 14
75% =
75100 =
34 Difference in Julie's age and Gillian's age at first
= 4 p - (3 p - 3)
= 1 p + 3
The difference in age between Julie and Gillian remains unchanged.
1 p + 3 = 14
1 p = 14 - 3 = 11
Gillian's age when she was 3 years less than 75% of Julie's age
= 3 p - 3
= 3 x 11 - 3
= 33 - 3
= 30
Answer(s): 30
