Aunt Penelope is now 2 times as old as Kylie. 8 years ago, Aunt Penelope was 6 times as old as Kylie. How old will Aunt Penelope be 10 years from now?
| |
Aunt Penelope |
Kylie |
Difference |
| Before |
6 u |
1 u |
5 u |
| Change |
+ 8 |
+ 8 |
|
| After |
2x5 =
10 u |
1x5 =
5 u |
1x5 =
5 u |
Before
Aunt Penelope's age = 6 u
Kylie's age = 1 u
After
Aunt Penelope's age = 10 u
Kylie's age = 5 u
The age difference between Aunt Penelope and Kylie remains the same.
LCM of 5 and 1 is 5.
10 u - 6 u = 8
4 u = 8
1 u = 8 ÷ 4 = 2
Aunt Penelope's age now
= 10 u
= 10 x 2
= 20
Aunt Penelope's age 10 years from now
= 20 + 10
= 30
Answer(s): 30
