SOLUTION: Four years ago, Marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old is each now?

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Question 432060: Four years ago, Marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old is each now?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Using Marion,M, and Les,L, we have two equations:
M-4=2/3(L-4)
M=3/4L
--------------
3/4L-4=2/3L-8/3
9L-48=8L-32
9L-8L=16
L=16
M=12
Marion is 12. Les is 16.
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++3%5Cx+%2B+-2%5Cy+=+4%2C%0D%0A++++4%5Cx+%2B+-3%5Cy+=+0+%29%0D%0A++

Any system of equations:


has solution

or



(x=12, y=16}