Julie will be 48 years old in 9 years' time. Now, Jen's age is 23 of Julie's age. What was Jen's age when she was 3 years less than 75% of Julie's age?
| |
Jen |
Julie |
Difference |
| Before |
3 p - 3 |
4 p |
1 p + 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 9 |
+ 9 |
|
| After |
2 u + 9 |
48 |
|
Julie's age in 9 years' time = 3 u + 9
3 u + 9 = 48
3 u = 48 - 9
3 u = 39
1 u = 39 ÷ 3 = 13
Difference between Julie's age and Jen's age
= 1 u
= 13
75% =
75100 =
34 Difference in Julie's age and Jen's age at first
= 4 p - (3 p - 3)
= 1 p + 3
The difference in age between Julie and Jen remains unchanged.
1 p + 3 = 13
1 p = 13 - 3 = 10
Jen's age when she was 3 years less than 75% of Julie's age
= 3 p - 3
= 3 x 10 - 3
= 30 - 3
= 27
Answer(s): 27
