Question 657504
<pre>
smaller integer = x
larger integer = 3x+4

x + (3x+4) < 21

x + 3x + 4 < 21
    4x + 4 < 21
        4x < 17
         x < {{{17/4}}}
         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 < {{{17/4}}}
  3x < {{{51/4}}}
3x+4 < {{{51/4}}}+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</pre>