SOLUTION: if three times the larger of two numbers is divided by the smaller we get the quotient 6 and reminder 6.if 5 times the smaller is divided by the larger we get quotient 2 remainder

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Question 975057: if three times the larger of two numbers is divided by the smaller we get the quotient 6 and reminder 6.if 5 times the smaller is divided by the larger we get quotient 2 remainder 3.find the numbers
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
if three times the larger of two numbers is divided by the smaller we get the
quotient 6 and reminder 6.

Let L be the larger and S be the smaller:

   6
S)3L
  6S
   6

So 3L-6S = 6

Divide through by 3

    L-2S = 2

if 5 times the smaller is divided by the larger we get quotient 2 remainder 3.

   2
L)5S
  2L
   3

So 5S-2L = 3

So solve the system of equations.  

system%28L-2S+=+2%2C5S-2L+=+3%29

Now you can finish.

Edwin