Esther will be 48 years old in 9 years' time. Now, Shannon's age is 23 of Esther's age. What was Shannon's age when she was 4 years less than 75% of Esther's age?
| |
Shannon |
Esther |
Difference |
| Before |
3 p - 4 |
4 p |
1 p + 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 9 |
+ 9 |
|
| After |
2 u + 9 |
48 |
|
Esther's age in 9 years' time = 3 u + 9
3 u + 9 = 48
3 u = 48 - 9
3 u = 39
1 u = 39 ÷ 3 = 13
Difference between Esther's age and Shannon's age
= 1 u
= 13
75% =
75100 =
34 Difference in Esther's age and Shannon's age at first
= 4 p - (3 p - 4)
= 1 p + 4
The difference in age between Esther and Shannon remains unchanged.
1 p + 4 = 13
1 p = 13 - 4 = 9
Shannon's age when she was 4 years less than 75% of Esther's age
= 3 p - 4
= 3 x 9 - 4
= 27 - 4
= 23
Answer(s): 23
