Xylia will be 57 years old in 9 years' time. Now, Min's age is 56 of Xylia's age. What was Min's age when she was 2 years more than 75% of Xylia's age?
| |
Min |
Xylia |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 9 |
+ 9 |
|
| After |
5 u + 9 |
57 |
|
Xylia's age in 9 years' time = 6 u + 9
6 u + 9 = 57
6 u = 57 - 9
6 u = 48
1 u = 48 ÷ 6 = 8
Difference between Xylia's age and Min's age
= 1 u
= 8
75% =
75100 =
34 Difference in Xylia's age and Min's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Xylia and Min remains unchanged.
1 p - 2 = 8
1 p = 8 + 2 = 10
Min's age when she was 2 years more than 75% of Xylia's age
= 3 p + 2
= 3 x 10 + 2
= 30 + 2
= 32
Answer(s): 32
