Gabby will be 35 years old in 5 years' time. Now, Esther's age is 12 of Gabby's age. What was Esther's age when she was 5 years less than 80% of Gabby's age?
| |
Esther |
Gabby |
Difference |
| Before |
4 p - 5 |
5 p |
1 p + 5 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 5 |
+ 5 |
|
| After |
1 u + 5 |
35 |
|
Gabby's age in 5 years' time = 2 u + 5
2 u + 5 = 35
2 u = 35 - 5
2 u = 30
1 u = 30 ÷ 2 = 15
Difference between Gabby's age and Esther's age
= 1 u
= 15
80% =
80100 =
45 Difference in Gabby's age and Esther's age at first
= 5 p - (4 p - 5)
= 1 p + 5
The difference in age between Gabby and Esther remains unchanged.
1 p + 5 = 15
1 p = 15 - 5 = 10
Esther's age when she was 5 years less than 80% of Gabby's age
= 4 p - 5
= 4 x 10 - 5
= 40 - 5
= 35
Answer(s): 35
