Product of two consecutive integers is 29 more than their sum . find the integers

Product of two consecutive integers is:

n(n+1)=n²+n

Sum of two consecutive integers is:

n+(n+1)=n+n+1=2n+1

What you have proclaimed:

n²+n=2n+1+29

n²+n=2n+30

n²+n-2n-30=0

n²-n-30=0

(n-6)(n+5)=0

Therefore n=6 or n=-5.

When n=6,

n+1=7

First 6 and 7.



When n=-5,

n+1=-4

Second -4 and -5.