Barbara will be 97 years old in 7 years' time. Now, Jane's age is 56 of Barbara's age. What was Jane's age when she was 2 years more than 80% of Barbara's age?
| |
Jane |
Barbara |
Difference |
| Before |
4 p + 2 |
5 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 7 |
+ 7 |
|
| After |
5 u + 7 |
97 |
|
Barbara's age in 7 years' time = 6 u + 7
6 u + 7 = 97
6 u = 97 - 7
6 u = 90
1 u = 90 ÷ 6 = 15
Difference between Barbara's age and Jane's age
= 1 u
= 15
80% =
80100 =
45 Difference in Barbara's age and Jane's age at first
= 5 p - (4 p + 2)
= 1 p - 2
The difference in age between Barbara and Jane remains unchanged.
1 p - 2 = 15
1 p = 15 + 2 = 17
Jane's age when she was 2 years more than 80% of Barbara's age
= 4 p + 2
= 4 x 17 + 2
= 68 + 2
= 70
Answer(s): 70
