SOLUTION: Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam.

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Question 972337: Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam.
Answer by lwsshak3(11628) About Me  (Show Source):
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Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam.
***
5 yrs ago:
let x=Sam's age
2x=Nina's age
..
At present:
x+5=Sam's age
2x+5=Nina's age
..
In 5 yrs:
x+5+5=x+10=Sam's age
2x+5+5=2x+10=Nina's age
2x+10=1.5(x+10) (In five years, Nina will be 1.5 times as old as Sam.
2x+10=1.5x+15
0.5x=5
x=10
..
x+5=15
2x+5=25
..
How old are Nina and Sam.
Nina: 25
Sam: 15