Question 946122
Let the integers be I and (I_+1)

You are told hat if you double the first and triple the second, the sum will be 83

So
{{{2*I  + 3*(I+1) = 83}}}
{{{2I + 3I + 3 = 83}}}
{{{5I = 83 - 3}}}
{{{5I = 80}}}
{{{I = 80/5}}}
{{{I = 16}}}
The integers are 16 and 17