Aunt Tiffany is now 3 times as old as Xandra. 6 years ago, Aunt Tiffany was 6 times as old as Xandra. How old will Xandra be 12 years from now?
|
Aunt Tiffany |
Xandra |
Difference |
Before |
6 u |
1 u |
5 u |
Change |
+ 6 |
+ 6 |
|
After |
3x5 = 7.5 u |
1x5 = 2.5 u |
2x5 = 5 u |
Before
Aunt Tiffany's age = 6 u
Xandra's age = 1 u
After
Aunt Tiffany's age = 7.5 u
Xandra's age = 2.5 u
The age difference between Aunt Tiffany and Xandra remains the same.
LCM of 5 and 2 is 5.
7.5 u - 6 u = 6
1.5 u = 6
1 u = 6 ÷ 1.5 = 4
Xandra's age now
= 2.5 u
= 2.5 x 4
= 10
Xandra's age 12 years from now
= 10 + 12
= 22
Answer(s): 22