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

Algebra.Com
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)   (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.  



Now you can finish.

Edwin


RELATED QUESTIONS

If the larger of the two numbers is divided by the smaller,the quotient and the reminder... (answered by Theo)
If 3 times the larger of the 2 numbers is divided by the smaller one, we get 4 as... (answered by mananth)
Of larger of two numbers is divided by the smaller, the quotient & remainder are 2 each.... (answered by ankor@dixie-net.com)
If the larger of two numbers is divided by 6 and is subtracted from three times the... (answered by stanbon)
if 3 times the larger of the two numbers is divided by the smaller, than the quotient is... (answered by ankor@dixie-net.com)
If the larger of two numbers is divided by a smaller , the quotient and remainder are 2... (answered by ankor@dixie-net.com)
If two numbers total 107 5/6 and if three times the smaller number is 13 5/6 less than... (answered by Cromlix)
The difference of two numbers is 4. If five times the larger is divided by 2 times the... (answered by josgarithmetic)
The sum of two numbers is 40. If twice the larger number is divided by the smaller, the... (answered by solver91311)