SOLUTION: one integer is 4 more than three times another integer. the sum of the two integers is less than 21. find the largest possible values for both integers.

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Question 657504: one integer is 4 more than three times another integer. the sum of the two integers is less than 21. find the largest possible values for both integers.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
smaller integer = x
larger integer = 3x+4

x + (3x+4) < 21

x + 3x + 4 < 21
    4x + 4 < 21
        4x < 17
         x < 17%2F4
         x < 4.25

So the largest integer the smaller one can be is 4.
In that case the larger one is 3(4)+4 = 12+4 = 16.

   x < 17%2F4
  3x < 51%2F4
3x+4 < 51%2F4+4
3x+4 < 16.75

So the largest integer the larger one can be is 16.
And it turns out, as we saw above, that this is when 
the smaller is 4.

Edwin