Lucy will be 39 years old in 9 years' time. Now, Wendy's age is 12 of Lucy's age. What was Wendy's age when she was 4 years less than 75% of Lucy's age?
| |
Wendy |
Lucy |
Difference |
| Before |
3 p - 4 |
4 p |
1 p + 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 9 |
+ 9 |
|
| After |
1 u + 9 |
39 |
|
Lucy's age in 9 years' time = 2 u + 9
2 u + 9 = 39
2 u = 39 - 9
2 u = 30
1 u = 30 ÷ 2 = 15
Difference between Lucy's age and Wendy's age
= 1 u
= 15
75% =
75100 =
34 Difference in Lucy's age and Wendy's age at first
= 4 p - (3 p - 4)
= 1 p + 4
The difference in age between Lucy and Wendy remains unchanged.
1 p + 4 = 15
1 p = 15 - 4 = 11
Wendy's age when she was 4 years less than 75% of Lucy's age
= 3 p - 4
= 3 x 11 - 4
= 33 - 4
= 29
Answer(s): 29
