Aunt Gwen is now 4 times as old as Penelope. 10 years later, Aunt will be 2 times as old as Penelope. How old will Aunt Gwen be 3 years from now?
| |
Aunt Gwen |
Penelope |
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 Gwen and Penelope remains unchanged. Make the difference in age the same. LCM of 1 and 3 is 3.
Increase in Aunt Gwen's age
= 6 u - 4 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Aunt Gwen's age 3 years from now
= 4 u + 3
= 20 + 3
= 23
Answer(s): 23
