Aunt Cathy is now 4 times as old as Gwen. 8 years later, Aunt will be 2 times as old as Gwen. How old will Aunt Cathy be 3 years from now?
| |
Aunt Cathy |
Gwen |
Difference |
| Before |
4 u |
1 u |
3 u |
| Change |
+ 8 |
+ 8 |
|
| After |
2x3 =
6 u |
1x3 =
3 u |
1x3 =
3 u |
The difference in the age between Aunt Cathy and Gwen remains unchanged. Make the difference in age the same. LCM of 1 and 3 is 3.
Increase in Aunt Cathy's age
= 6 u - 4 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Aunt Cathy's age 3 years from now
= 4 u + 3
= 16 + 3
= 19
Answer(s): 19
