SOLUTION: I have to translate problems like these into a system of equations, then solve it ex: The sum of two numbers is 36. The difference of one sixth of the larger number and one nin

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Question 408502: I have to translate problems like these into a system of equations, then solve it
ex:
The sum of two numbers is 36. The difference of one sixth of the larger number and one ninth of the smaller number is 11. Find the numbers.
Found 2 solutions by scott8148, ewatrrr:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"The sum of two numbers is 36" ___ L + s = 36 ___ 4L + 4s = 144

"The difference of one sixth of the larger number and one ninth of the smaller number is 11"
___ (L / 6) - (s / 9) = 11

multiplying by 36 (LCD) ___ 6L - 4s = 396

adding equations (to ELIMINATE s) ___ 10L = 540

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

The sum of two numbers is 36

Let x and (36-x)represent the smaller and larger number respectively

Question states***

 (1/6)(36-x) + x/9 = 11

Solving for x

   3(36-x) + 2x = 11*18

  108 - 198 = x

       -90 = x, smaller number.  Larger number is 126.  (36-(-90)       

CHECKING our Answer***

 (1/6)126 - 10 = 21 - 10 = 11