Question 1036008: 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 now? Answer by Aldorozos(172) (Show Source):
You can put this solution on YOUR website! Consider Nina's age s N and Sam's age as S. The are their age today
Five years ago we had n-5=2(s-5)
Five years from now N+5=1.5(s+5)
We calculate n from the first equation and replace n with what we calculated for n from the first equation. From first equation we will have n=2(s-5)+5
Now we replace n in the second equation with our calculation for n. This allows the second equation to be conveyer tied to s value
2(s-5)+5=1.5(s+5) after simplifying we get s=15
Now that we have a Buber for s, we replace s with 15 in the first equation to calculate n
N-5=2(15-5) this gives us n=25. Now you can check your answer. Five years ago n was 20 and s was 10. This means five years ago n was twice old as s. You may do the same for five years from now to validate the second equation .