Usha will be 48 years old in 6 years' time. Now, Tiffany's age is 23 of Usha's age. What was Tiffany's age when she was 4 years less than 80% of Usha's age?
| |
Tiffany |
Usha |
Difference |
| Before |
4 p - 4 |
5 p |
1 p + 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
2 u |
3 u |
1 u |
| Change 2 |
+ 6 |
+ 6 |
|
| After |
2 u + 6 |
48 |
|
Usha's age in 6 years' time = 3 u + 6
3 u + 6 = 48
3 u = 48 - 6
3 u = 42
1 u = 42 ÷ 3 = 14
Difference between Usha's age and Tiffany's age
= 1 u
= 14
80% =
80100 =
45 Difference in Usha's age and Tiffany's age at first
= 5 p - (4 p - 4)
= 1 p + 4
The difference in age between Usha and Tiffany remains unchanged.
1 p + 4 = 14
1 p = 14 - 4 = 10
Tiffany's age when she was 4 years less than 80% of Usha's age
= 4 p - 4
= 4 x 10 - 4
= 40 - 4
= 36
Answer(s): 36
