Rachel will be 56 years old in 11 years' time. Now, Elyse's age is 23 of Rachel's age. What was Elyse's age when she was 9 years less than 80% of Rachel's age?
| |
Elyse |
Rachel |
Difference |
| Before |
4 p - 9 |
5 p |
1 p + 9 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 11 |
+ 11 |
|
| After |
2 u + 11 |
56 |
|
Rachel's age in 11 years' time = 3 u + 11
3 u + 11 = 56
3 u = 56 - 11
3 u = 45
1 u = 45 ÷ 3 = 15
Difference between Rachel's age and Elyse's age
= 1 u
= 15
80% =
80100 =
45 Difference in Rachel's age and Elyse's age at first
= 5 p - (4 p - 9)
= 1 p + 9
The difference in age between Rachel and Elyse remains unchanged.
1 p + 9 = 15
1 p = 15 - 9 = 6
Elyse's age when she was 9 years less than 80% of Rachel's age
= 4 p - 9
= 4 x 6 - 9
= 24 - 9
= 15
Answer(s): 15
