Aunt Barbara is now 2 times as old as Linda. 18 years ago, Aunt Barbara was 8 times as old as Linda. How old will Linda be 8 years from now?
| |
Aunt Barbara |
Linda |
Difference |
| Before |
8 u |
1 u |
7 u |
| Change |
+ 18 |
+ 18 |
|
| After |
2x7 =
14 u |
1x7 =
7 u |
1x7 =
7 u |
Before
Aunt Barbara's age = 8 u
Linda's age = 1 u
After
Aunt Barbara's age = 14 u
Linda's age = 7 u
The age difference between Aunt Barbara and Linda remains the same.
LCM of 7 and 1 is 7.
14 u - 8 u = 18
6 u = 18
1 u = 18 ÷ 6 = 3
Linda's age now
= 7 u
= 7 x 3
= 21
Linda's age 8 years from now
= 21 + 8
= 29
Answer(s): 29
