Usha will be 83 years old in 5 years' time. Now, Xuan's age is 56 of Usha's age. What was Xuan's age when she was 2 years more than 75% of Usha's age?
| |
Xuan |
Usha |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 5 |
+ 5 |
|
| After |
5 u + 5 |
83 |
|
Usha's age in 5 years' time = 6 u + 5
6 u + 5 = 83
6 u = 83 - 5
6 u = 78
1 u = 78 ÷ 6 = 13
Difference between Usha's age and Xuan's age
= 1 u
= 13
75% =
75100 =
34 Difference in Usha's age and Xuan's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Usha and Xuan remains unchanged.
1 p - 2 = 13
1 p = 13 + 2 = 15
Xuan's age when she was 2 years more than 75% of Usha's age
= 3 p + 2
= 3 x 15 + 2
= 45 + 2
= 47
Answer(s): 47
