Fiona will be 74 years old in 2 years' time. Now, Emily's age is 56 of Fiona's age. What was Emily's age when she was 5 years more than 75% of Fiona's age?
| |
Emily |
Fiona |
Difference |
| Before |
3 p + 5 |
4 p |
1 p - 5 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 2 |
+ 2 |
|
| After |
5 u + 2 |
74 |
|
Fiona's age in 2 years' time = 6 u + 2
6 u + 2 = 74
6 u = 74 - 2
6 u = 72
1 u = 72 ÷ 6 = 12
Difference between Fiona's age and Emily's age
= 1 u
= 12
75% =
75100 =
34 Difference in Fiona's age and Emily's age at first
= 4 p - (3 p + 5)
= 1 p - 5
The difference in age between Fiona and Emily remains unchanged.
1 p - 5 = 12
1 p = 12 + 5 = 17
Emily's age when she was 5 years more than 75% of Fiona's age
= 3 p + 5
= 3 x 17 + 5
= 51 + 5
= 56
Answer(s): 56
