Emily will be 34 years old in 9 years' time. Now, Roshel's age is 45 of Emily's age. What was Roshel's age when she was 2 years less than 75% of Emily's age?
| |
Roshel |
Emily |
Difference |
| Before |
3 p - 2 |
4 p |
1 p + 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 9 |
+ 9 |
|
| After |
4 u + 9 |
34 |
|
Emily's age in 9 years' time = 5 u + 9
5 u + 9 = 34
5 u = 34 - 9
5 u = 25
1 u = 25 ÷ 5 = 5
Difference between Emily's age and Roshel's age
= 1 u
= 5
75% =
75100 =
34 Difference in Emily's age and Roshel's age at first
= 4 p - (3 p - 2)
= 1 p + 2
The difference in age between Emily and Roshel remains unchanged.
1 p + 2 = 5
1 p = 5 - 2 = 3
Roshel's age when she was 2 years less than 75% of Emily's age
= 3 p - 2
= 3 x 3 - 2
= 9 - 2
= 7
Answer(s): 7
