Joelle will be 91 years old in 13 years' time. Now, Jade's age is 56 of Joelle's age. What was Jade's age when she was 4 years more than 75% of Joelle's age?
| |
Jade |
Joelle |
Difference |
| Before |
3 p + 4 |
4 p |
1 p - 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 13 |
+ 13 |
|
| After |
5 u + 13 |
91 |
|
Joelle's age in 13 years' time = 6 u + 13
6 u + 13 = 91
6 u = 91 - 13
6 u = 78
1 u = 78 ÷ 6 = 13
Difference between Joelle's age and Jade's age
= 1 u
= 13
75% =
75100 =
34 Difference in Joelle's age and Jade's age at first
= 4 p - (3 p + 4)
= 1 p - 4
The difference in age between Joelle and Jade remains unchanged.
1 p - 4 = 13
1 p = 13 + 4 = 17
Jade's age when she was 4 years more than 75% of Joelle's age
= 3 p + 4
= 3 x 17 + 4
= 51 + 4
= 55
Answer(s): 55
