Dana will be 47 years old in 5 years' time. Now, Emma's age is 23 of Dana's age. What was Emma's age when she was 4 years less than 75% of Dana's age?
| |
Emma |
Dana |
Difference |
| Before |
3 p - 4 |
4 p |
1 p + 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 5 |
+ 5 |
|
| After |
2 u + 5 |
47 |
|
Dana's age in 5 years' time = 3 u + 5
3 u + 5 = 47
3 u = 47 - 5
3 u = 42
1 u = 42 ÷ 3 = 14
Difference between Dana's age and Emma's age
= 1 u
= 14
75% =
75100 =
34 Difference in Dana's age and Emma's age at first
= 4 p - (3 p - 4)
= 1 p + 4
The difference in age between Dana and Emma remains unchanged.
1 p + 4 = 14
1 p = 14 - 4 = 10
Emma's age when she was 4 years less than 75% of Dana's age
= 3 p - 4
= 3 x 10 - 4
= 30 - 4
= 26
Answer(s): 26
