Joelle will be 73 years old in 3 years' time. Now, Tina's age is 45 of Joelle's age. What was Tina's age when she was 7 years less than 75% of Joelle's age?
| |
Tina |
Joelle |
Difference |
| Before |
3 p - 7 |
4 p |
1 p + 7 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 3 |
+ 3 |
|
| After |
4 u + 3 |
73 |
|
Joelle's age in 3 years' time = 5 u + 3
5 u + 3 = 73
5 u = 73 - 3
5 u = 70
1 u = 70 ÷ 5 = 14
Difference between Joelle's age and Tina's age
= 1 u
= 14
75% =
75100 =
34 Difference in Joelle's age and Tina's age at first
= 4 p - (3 p - 7)
= 1 p + 7
The difference in age between Joelle and Tina remains unchanged.
1 p + 7 = 14
1 p = 14 - 7 = 7
Tina's age when she was 7 years less than 75% of Joelle's age
= 3 p - 7
= 3 x 7 - 7
= 21 - 7
= 14
Answer(s): 14
