Cindy will be 46 years old in 18 years' time. Now, Victoria's age is 12 of Cindy's age. What was Victoria's age when she was 12 years less than 90% of Cindy's age?
| |
Victoria |
Cindy |
Difference |
| Before |
9 p - 12 |
10 p |
1 p + 12 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 18 |
+ 18 |
|
| After |
1 u + 18 |
46 |
|
Cindy's age in 18 years' time = 2 u + 18
2 u + 18 = 46
2 u = 46 - 18
2 u = 28
1 u = 28 ÷ 2 = 14
Difference between Cindy's age and Victoria's age
= 1 u
= 14
90% =
90100 =
910 Difference in Cindy's age and Victoria's age at first
= 10 p - (9 p - 12)
= 1 p + 12
The difference in age between Cindy and Victoria remains unchanged.
1 p + 12 = 14
1 p = 14 - 12 = 2
Victoria's age when she was 12 years less than 90% of Cindy's age
= 9 p - 12
= 9 x 2 - 12
= 18 - 12
= 6
Answer(s): 6
