Answer :
If [tex]x[/tex] is the first integer, then the other two are [tex]x+2[/tex] and [tex]x+4[/tex].
You then want to find [tex]x[/tex] such that
[tex](x+2)+(x+4)=23+3x\implies -17=x[/tex]
but this number is not positive, so there is no solution.
You then want to find [tex]x[/tex] such that
[tex](x+2)+(x+4)=23+3x\implies -17=x[/tex]
but this number is not positive, so there is no solution.