Opal will be 71 years old in 11 years' time. Now, Cindy's age is 45 of Opal's age. What was Cindy's age when she was 2 years less than 75% of Opal's age?
| |
Cindy |
Opal |
Difference |
| Before |
3 p - 2 |
4 p |
1 p + 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
4 u |
5 u |
1 u |
| Change 2 |
+ 11 |
+ 11 |
|
| After |
4 u + 11 |
71 |
|
Opal's age in 11 years' time = 5 u + 11
5 u + 11 = 71
5 u = 71 - 11
5 u = 60
1 u = 60 ÷ 5 = 12
Difference between Opal's age and Cindy's age
= 1 u
= 12
75% =
75100 =
34 Difference in Opal's age and Cindy's age at first
= 4 p - (3 p - 2)
= 1 p + 2
The difference in age between Opal and Cindy remains unchanged.
1 p + 2 = 12
1 p = 12 - 2 = 10
Cindy's age when she was 2 years less than 75% of Opal's age
= 3 p - 2
= 3 x 10 - 2
= 30 - 2
= 28
Answer(s): 28
