Emily will be 94 years old in 10 years' time. Now, Ivory's age is 56 of Emily's age. What was Ivory's age when she was 2 years more than 75% of Emily's age?
| |
Ivory |
Emily |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 10 |
+ 10 |
|
| After |
5 u + 10 |
94 |
|
Emily's age in 10 years' time = 6 u + 10
6 u + 10 = 94
6 u = 94 - 10
6 u = 84
1 u = 84 ÷ 6 = 14
Difference between Emily's age and Ivory's age
= 1 u
= 14
75% =
75100 =
34 Difference in Emily's age and Ivory's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Emily and Ivory remains unchanged.
1 p - 2 = 14
1 p = 14 + 2 = 16
Ivory's age when she was 2 years more than 75% of Emily's age
= 3 p + 2
= 3 x 16 + 2
= 48 + 2
= 50
Answer(s): 50
