document.write( "Question 212940: I cant figure out how to set up this problem:
\n" ); document.write( "Find three consecutive odd integers whose sum is between 135 and 147
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #160857 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Try this!
\n" ); document.write( "Let the three consecutive odd integers be:
\n" ); document.write( "(2x+1), (2x+3), and (2x+5). No matter what value x is, this will guarantee that the numbers are odd.
\n" ); document.write( "Now you can set up the inequality as shown:
\n" ); document.write( " $\"135+%3C=+%282x%2B1%29%2B%282x%2B3%29%2B%282x%2B5%29+%3C=+147\"$ Simplify.
\n" ); document.write( " $\"135+%3C=+6x%2B9+%3C=147\"$ Subtract 9 from all three sides(?).
\n" ); document.write( " $\"126+%3C=+6x+%3C=+138\"$ Now divide all by 6.
\n" ); document.write( " $\"21+%3C=+x+%3C=+23\"$ so the three consecutive odd integers are:
\n" ); document.write( " $\"2x%2B1+=+2%2821%29%2B1\"$ = $\"43\"$
\n" ); document.write( " $\"2x%2B3+=+2%2821%29%2B3\"$ = $\"45\"$
\n" ); document.write( " $\"2x%2B5+=+2%2821%29%2B5\"$ = $\"47\"$ \n" ); document.write( "

\n" );