Lucy will be 73 years old in 18 years' time. Now, Penelope's age is 45 of Lucy's age. What was Penelope's age when she was 2 years less than 75% of Lucy's age?
| |
Penelope |
Lucy |
Difference |
| Before |
3 p - 2 |
4 p |
1 p + 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 18 |
+ 18 |
|
| After |
4 u + 18 |
73 |
|
Lucy's age in 18 years' time = 5 u + 18
5 u + 18 = 73
5 u = 73 - 18
5 u = 55
1 u = 55 ÷ 5 = 11
Difference between Lucy's age and Penelope's age
= 1 u
= 11
75% =
75100 =
34 Difference in Lucy's age and Penelope's age at first
= 4 p - (3 p - 2)
= 1 p + 2
The difference in age between Lucy and Penelope remains unchanged.
1 p + 2 = 11
1 p = 11 - 2 = 9
Penelope's age when she was 2 years less than 75% of Lucy's age
= 3 p - 2
= 3 x 9 - 2
= 27 - 2
= 25
Answer(s): 25
