Aunt Natalie is now 2 times as old as Dana. 10 years ago, Aunt Natalie was 7 times as old as Dana. How old will Aunt Natalie be 3 years from now?
| |
Aunt Natalie |
Dana |
Difference |
| Before |
7 u |
1 u |
6 u |
| Change |
+ 10 |
+ 10 |
|
| After |
2x6 =
12 u |
1x6 =
6 u |
1x6 =
6 u |
Before
Aunt Natalie's age = 7 u
Dana's age = 1 u
After
Aunt Natalie's age = 12 u
Dana's age = 6 u
The age difference between Aunt Natalie and Dana remains the same.
LCM of 6 and 1 is 6.
12 u - 7 u = 10
5 u = 10
1 u = 10 ÷ 5 = 2
Aunt Natalie's age now
= 12 u
= 12 x 2
= 24
Aunt Natalie's age 3 years from now
= 24 + 3
= 27
Answer(s): 27
