Nora will be 57 years old in 7 years' time. Now, Elyse's age is 45 of Nora's age. What was Elyse's age when she was 4 years less than 75% of Nora's age?
| |
Elyse |
Nora |
Difference |
| Before |
3 p - 4 |
4 p |
1 p + 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 7 |
+ 7 |
|
| After |
4 u + 7 |
57 |
|
Nora's age in 7 years' time = 5 u + 7
5 u + 7 = 57
5 u = 57 - 7
5 u = 50
1 u = 50 ÷ 5 = 10
Difference between Nora's age and Elyse's age
= 1 u
= 10
75% =
75100 =
34 Difference in Nora's age and Elyse's age at first
= 4 p - (3 p - 4)
= 1 p + 4
The difference in age between Nora and Elyse remains unchanged.
1 p + 4 = 10
1 p = 10 - 4 = 6
Elyse's age when she was 4 years less than 75% of Nora's age
= 3 p - 4
= 3 x 6 - 4
= 18 - 4
= 14
Answer(s): 14
