Aunt Elyse is now 3 times as old as Victoria. 25 years ago, Aunt Elyse was 8 times as old as Victoria. How old will Victoria be 2 years from now?
| |
Aunt Elyse |
Victoria |
Difference |
| Before |
8 u |
1 u |
7 u |
| Change |
+ 25 |
+ 25 |
|
| After |
3x7 =
10.5 u |
1x7 =
3.5 u |
2x7 =
7 u |
Before
Aunt Elyse's age = 8 u
Victoria's age = 1 u
After
Aunt Elyse's age = 10.5 u
Victoria's age = 3.5 u
The age difference between Aunt Elyse and Victoria remains the same.
LCM of 7 and 2 is 7.
10.5 u - 8 u = 25
2.5 u = 25
1 u = 25 ÷ 2.5 = 10
Victoria's age now
= 3.5 u
= 3.5 x 10
= 35
Victoria's age 2 years from now
= 35 + 2
= 37
Answer(s): 37
