Erika will be 54 years old in 18 years' time. Now, Usha's age is 23 of Erika's age. What was Usha's age when she was 3 years less than 75% of Erika's age?
| |
Usha |
Erika |
Difference |
| Before |
3 p - 3 |
4 p |
1 p + 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 18 |
+ 18 |
|
| After |
2 u + 18 |
54 |
|
Erika's age in 18 years' time = 3 u + 18
3 u + 18 = 54
3 u = 54 - 18
3 u = 36
1 u = 36 ÷ 3 = 12
Difference between Erika's age and Usha's age
= 1 u
= 12
75% =
75100 =
34 Difference in Erika's age and Usha's age at first
= 4 p - (3 p - 3)
= 1 p + 3
The difference in age between Erika and Usha remains unchanged.
1 p + 3 = 12
1 p = 12 - 3 = 9
Usha's age when she was 3 years less than 75% of Erika's age
= 3 p - 3
= 3 x 9 - 3
= 27 - 3
= 24
Answer(s): 24
