Tiffany will be 63 years old in 19 years' time. Now, Winnie's age is 34 of Tiffany's age. What was Winnie's age when she was 6 years less than 90% of Tiffany's age?
| |
Winnie |
Tiffany |
Difference |
| Before |
9 p - 6 |
10 p |
1 p + 6 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
3 u |
4 u |
1 u |
| Change 2 |
+ 19 |
+ 19 |
|
| After |
3 u + 19 |
63 |
|
Tiffany's age in 19 years' time = 4 u + 19
4 u + 19 = 63
4 u = 63 - 19
4 u = 44
1 u = 44 ÷ 4 = 11
Difference between Tiffany's age and Winnie's age
= 1 u
= 11
90% =
90100 =
910 Difference in Tiffany's age and Winnie's age at first
= 10 p - (9 p - 6)
= 1 p + 6
The difference in age between Tiffany and Winnie remains unchanged.
1 p + 6 = 11
1 p = 11 - 6 = 5
Winnie's age when she was 6 years less than 90% of Tiffany's age
= 9 p - 6
= 9 x 5 - 6
= 45 - 6
= 39
Answer(s): 39
