Aunt Marion is now 3 times as old as Victoria. 6 years ago, Aunt Marion was 6 times as old as Victoria. How old will Victoria be 10 years from now?
| |
Aunt Marion |
Victoria |
Difference |
| Before |
6 u |
1 u |
5 u |
| Change |
+ 6 |
+ 6 |
|
| After |
3x5 =
7.5 u |
1x5 =
2.5 u |
2x5 =
5 u |
Before
Aunt Marion's age = 6 u
Victoria's age = 1 u
After
Aunt Marion's age = 7.5 u
Victoria's age = 2.5 u
The age difference between Aunt Marion and Victoria remains the same.
LCM of 5 and 2 is 5.
7.5 u - 6 u = 6
1.5 u = 6
1 u = 6 ÷ 1.5 = 4
Victoria's age now
= 2.5 u
= 2.5 x 4
= 10
Victoria's age 10 years from now
= 10 + 10
= 20
Answer(s): 20
