Jade will be 91 years old in 13 years' time. Now, Irene's age is 56 of Jade's age. What was Irene's age when she was 3 years more than 75% of Jade's age?
| |
Irene |
Jade |
Difference |
| Before |
3 p + 3 |
4 p |
1 p - 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 13 |
+ 13 |
|
| After |
5 u + 13 |
91 |
|
Jade'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 Jade's age and Irene's age
= 1 u
= 13
75% =
75100 =
34 Difference in Jade's age and Irene's age at first
= 4 p - (3 p + 3)
= 1 p - 3
The difference in age between Jade and Irene remains unchanged.
1 p - 3 = 13
1 p = 13 + 3 = 16
Irene's age when she was 3 years more than 75% of Jade's age
= 3 p + 3
= 3 x 16 + 3
= 48 + 3
= 51
Answer(s): 51
