<PRE><B>Question 368793</B>
Let x be the first integer.  The next two consecutive integers are x+1 and x+2, thus we are given:&lt;br&gt;

2*(x)+3*(x+2)=126&lt;br&gt;

2x+3x+6=126&lt;br&gt;

5x+6=126&lt;br&gt;

5x=120&lt;br&gt;

x=24&lt;br&gt;

Thus, the three consecutive integers are 24, 25, and 26, as you had suspected.&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>