Barbara will be 96 years old in 6 years' time. Now, Emma's age is 56 of Barbara's age. What was Emma's age when she was 2 years more than 80% of Barbara's age?
| |
Emma |
Barbara |
Difference |
| Before |
4 p + 2 |
5 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 6 |
+ 6 |
|
| After |
5 u + 6 |
96 |
|
Barbara's age in 6 years' time = 6 u + 6
6 u + 6 = 96
6 u = 96 - 6
6 u = 90
1 u = 90 ÷ 6 = 15
Difference between Barbara's age and Emma's age
= 1 u
= 15
80% =
80100 =
45 Difference in Barbara's age and Emma's age at first
= 5 p - (4 p + 2)
= 1 p - 2
The difference in age between Barbara and Emma remains unchanged.
1 p - 2 = 15
1 p = 15 + 2 = 17
Emma'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
