Question 739877
This part is good:
1st: x
2nd: x+1
3rd: x+2


Product of the two larger integers is {{{(x+1)(x+2)}}}.
That is ....={{{50+5*x}}}


The statement, " (There are 2 sets of 3 consecutive integers)" is absolutely wrong. You only have ONE set of integers, no other set.  


The description about your integers is {{{(x+1)(x+2)=50+5x}}}.
Now you can solve for x.