Zara will be 89 years old in 19 years' time. Now, Hilda's age is 45 of Zara's age. What was Hilda's age when she was 3 years more than 75% of Zara's age?
| |
Hilda |
Zara |
Difference |
| Before |
3 p + 3 |
4 p |
1 p - 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 19 |
+ 19 |
|
| After |
4 u + 19 |
89 |
|
Zara's age in 19 years' time = 5 u + 19
5 u + 19 = 89
5 u = 89 - 19
5 u = 70
1 u = 70 ÷ 5 = 14
Difference between Zara's age and Hilda's age
= 1 u
= 14
75% =
75100 =
34 Difference in Zara's age and Hilda's age at first
= 4 p - (3 p + 3)
= 1 p - 3
The difference in age between Zara and Hilda remains unchanged.
1 p - 3 = 14
1 p = 14 + 3 = 17
Hilda's age when she was 3 years more than 75% of Zara's age
= 3 p + 3
= 3 x 17 + 3
= 51 + 3
= 54
Answer(s): 54
