Xandra will be 47 years old in 5 years' time. Now, Emma's age is 56 of Xandra's age. What was Emma's age when she was 3 years more than 75% of Xandra's age?
| |
Emma |
Xandra |
Difference |
| Before |
3 p + 3 |
4 p |
1 p - 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 5 |
+ 5 |
|
| After |
5 u + 5 |
47 |
|
Xandra's age in 5 years' time = 6 u + 5
6 u + 5 = 47
6 u = 47 - 5
6 u = 42
1 u = 42 ÷ 6 = 7
Difference between Xandra's age and Emma's age
= 1 u
= 7
75% =
75100 =
34 Difference in Xandra's age and Emma's age at first
= 4 p - (3 p + 3)
= 1 p - 3
The difference in age between Xandra and Emma remains unchanged.
1 p - 3 = 7
1 p = 7 + 3 = 10
Emma's age when she was 3 years more than 75% of Xandra's age
= 3 p + 3
= 3 x 10 + 3
= 30 + 3
= 33
Answer(s): 33
