document.write( "Question 263542: Find 4 consecutive odd integers where the product of the two smaller numbers is 64 less than the product of the two larger numbers. \n" ); document.write( "

Algebra.Com's Answer #194198 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
A way to guarantee that a number will be odd is to call it
\n" ); document.write( " $\"2n+%2B+1\"$
\n" ); document.write( "Odd integers skip every other number, so I can
\n" ); document.write( "call them $\"2n%2B1\"$ , $\"2n%2B3\"$ , $\"2n%2B5\"$ , $\"2n%2B7\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"%282n+%2B+1%29%282n+%2B+3%29+=+%282n+%2B+5%29%282n+%2B+7%29+-+64\"$
\n" ); document.write( " $\"4n%5E2+%2B+8n+%2B+3+=+4n%5E2+%2B+24n+%2B+35+-+64\"$
\n" ); document.write( " $\"8n+%2B+3+=+24n+-+29\"$
\n" ); document.write( " $\"16n+=+32\"$
\n" ); document.write( " $\"n+=+2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2n+%2B+1+=+5\"$
\n" ); document.write( " $\"2n+%2B+3+=+7\"$
\n" ); document.write( " $\"2n+%2B+5+=+9\"$
\n" ); document.write( " $\"2n+%2B+7+=+11\"$
\n" ); document.write( "The numbers are 5,7,9, and 11
\n" ); document.write( "check:
\n" ); document.write( " $\"5%2A7+=+9%2A11+-64\"$
\n" ); document.write( " $\"35+=+99+-+64\"$
\n" ); document.write( " $\"35+=+35\"$
\n" ); document.write( "OK \n" ); document.write( "

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