Aunt Betty is now 4 times as old as Emma. 10 years later, Aunt will be 2 times as old as Emma. How old will Aunt Betty be 2 years from now?
|
Aunt Betty |
Emma |
Difference |
Before |
4 u |
1 u |
3 u |
Change |
+ 10 |
+ 10 |
|
After |
2x3 = 6 u |
1x3 = 3 u |
1x3 = 3 u |
The difference in the age between Aunt Betty and Emma remains unchanged. Make the difference in age the same. LCM of 1 and 3 is 3.
Increase in Aunt Betty's age
= 6 u - 4 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Aunt Betty's age 2 years from now
= 4 u + 2
= 20 + 2
= 22
Answer(s): 22