Question 369796
let x = 1st positive integer
x + 1 = next positive integer
Then x(x+1) = x+x+1 +29.
{{{x^2 + x = 2x + 30}}}
{{{x^2 - x-30 = 0}}}
{{{(x-6)(x+5) = 0}}}
The answer is only x = 6.  (Why?)
Therefore the integers are 6 and 7.