SOLUTION: One number is 6 more than another. If the sum of the smaller number and 3times the larger number is 34, find the two numbers. show your work

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Question 70623: One number is 6 more than another. If the sum of the smaller number and 3times the larger number is 34, find the two numbers. show your work
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let s=smaller number L=larger number
The equation would look like:
             L=s+6  (the larger number is 6 greater than the smaller)
          s+3L=34

Plug in (s+6) into L of 2nd equation to solve for s (this is possible since L=s+6)
         
            s+3s+18=34  Distribute the 3 among (s+6)
            4s+18=34    Add the s terms
            4s=16       subtract 18 from both sides
            s=4
Divide both sides by 4
The smaller number is 4 so the larger is only 6 more than the smaller
             L=4+6
             L=10

So the larger number is 10.
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