Emma will be 59 years old in 17 years' time. Now, Gillian's age is 56 of Emma's age. What was Gillian's age when she was 2 years more than 75% of Emma's age?
| |
Gillian |
Emma |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 17 |
+ 17 |
|
| After |
5 u + 17 |
59 |
|
Emma's age in 17 years' time = 6 u + 17
6 u + 17 = 59
6 u = 59 - 17
6 u = 42
1 u = 42 ÷ 6 = 7
Difference between Emma's age and Gillian's age
= 1 u
= 7
75% =
75100 =
34 Difference in Emma's age and Gillian's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Emma and Gillian remains unchanged.
1 p - 2 = 7
1 p = 7 + 2 = 9
Gillian's age when she was 2 years more than 75% of Emma's age
= 3 p + 2
= 3 x 9 + 2
= 27 + 2
= 29
Answer(s): 29
