Joelle will be 81 years old in 9 years' time. Now, Usha's age is 56 of Joelle's age. What was Usha's age when she was 2 years more than 80% of Joelle's age?
| |
Usha |
Joelle |
Difference |
| Before |
4 p + 2 |
5 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 9 |
+ 9 |
|
| After |
5 u + 9 |
81 |
|
Joelle's age in 9 years' time = 6 u + 9
6 u + 9 = 81
6 u = 81 - 9
6 u = 72
1 u = 72 ÷ 6 = 12
Difference between Joelle's age and Usha's age
= 1 u
= 12
80% =
80100 =
45 Difference in Joelle's age and Usha's age at first
= 5 p - (4 p + 2)
= 1 p - 2
The difference in age between Joelle and Usha remains unchanged.
1 p - 2 = 12
1 p = 12 + 2 = 14
Usha's age when she was 2 years more than 80% of Joelle's age
= 4 p + 2
= 4 x 14 + 2
= 56 + 2
= 58
Answer(s): 58
