Elyse will be 57 years old in 18 years' time. Now, Tammy's age is 23 of Elyse's age. What was Tammy's age when she was 3 years less than 75% of Elyse's age?
| |
Tammy |
Elyse |
Difference |
| Before |
3 p - 3 |
4 p |
1 p + 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 18 |
+ 18 |
|
| After |
2 u + 18 |
57 |
|
Elyse's age in 18 years' time = 3 u + 18
3 u + 18 = 57
3 u = 57 - 18
3 u = 39
1 u = 39 ÷ 3 = 13
Difference between Elyse's age and Tammy's age
= 1 u
= 13
75% =
75100 =
34 Difference in Elyse's age and Tammy's age at first
= 4 p - (3 p - 3)
= 1 p + 3
The difference in age between Elyse and Tammy remains unchanged.
1 p + 3 = 13
1 p = 13 - 3 = 10
Tammy's age when she was 3 years less than 75% of Elyse's age
= 3 p - 3
= 3 x 10 - 3
= 30 - 3
= 27
Answer(s): 27
