Winnie will be 96 years old in 6 years' time. Now, Usha's age is 56 of Winnie's age. What was Usha's age when she was 6 years more than 75% of Winnie's age?
| |
Usha |
Winnie |
Difference |
| Before |
3 p + 6 |
4 p |
1 p - 6 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 6 |
+ 6 |
|
| After |
5 u + 6 |
96 |
|
Winnie's age in 6 years' time = 6 u + 6
6 u + 6 = 96
6 u = 96 - 6
6 u = 90
1 u = 90 ÷ 6 = 15
Difference between Winnie's age and Usha's age
= 1 u
= 15
75% =
75100 =
34 Difference in Winnie's age and Usha's age at first
= 4 p - (3 p + 6)
= 1 p - 6
The difference in age between Winnie and Usha remains unchanged.
1 p - 6 = 15
1 p = 15 + 6 = 21
Usha's age when she was 6 years more than 75% of Winnie's age
= 3 p + 6
= 3 x 21 + 6
= 63 + 6
= 69
Answer(s): 69
