Question 28874
<P>
Let the three consecutive integers be x, x+1, and x+2.


equation:
<font color = blue>x+(x+1)/2+</font><font color = red>2(x+2)-7</font>=2101
Multiple the whole equation by 2:
<font color = orange>2</font>(x)+x+1+<font color = orange>2</font>(2(x+2))-<font color = orange>2</font>(7)=2(2101)
can you solve it from there?
Paul