<PRE><B>Question 393468</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;Let k be the smallest integer. &lt;br&gt;

Then the 5 consecutive odd integers are:&lt;br&gt;

k, k+2, k+4, k+6, k+8&lt;br&gt;

So we can easily see that their sum is:&lt;br&gt;

{{{k+k+2+k+4+k+6+k+8=175}}}&lt;br&gt;

{{{5k+20=175}}}&lt;br&gt;

{{{5k=155}}}&lt;br&gt;

{{{k=31}}}&lt;br&gt;

Thus, the smallest odd integer is 31.&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>