document.write( "Question 341833: If the first and third of three consecutive odd integers are added, the result is 51 les than five times the second integer. Find the third integer. \n" ); document.write( "

Algebra.Com's Answer #244743 by josmiceli(19441) $\"\"$ $\"About$

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Call the consecutive odd integers
\n" ); document.write( " $\"n\"$ , $\"n+%2B+2\"$ , $\"n%2B4\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"n+%2B+n%2B+4+=+5%2A%28n+%2B+2%29+-+51\"$
\n" ); document.write( " $\"2n+%2B+4+=+5n+%2B+10+-+51\"$
\n" ); document.write( " $\"5n+-+2n+=+4+-+10+%2B+51\"$
\n" ); document.write( " $\"3n+=+45\"$
\n" ); document.write( " $\"n+=+15\"$
\n" ); document.write( " $\"n+%2B+2+=+17\"$
\n" ); document.write( " $\"n+%2B+4+=+19\"$
\n" ); document.write( "The numbers are 15, 17, and 19
\n" ); document.write( "check answer:
\n" ); document.write( " $\"n+%2B+n%2B+4+=+5%2A%28n+%2B+2%29+-+51\"$
\n" ); document.write( " $\"15+%2B+19+=+5%2A17+-+51\"$
\n" ); document.write( " $\"34+=+85+-+51\"$
\n" ); document.write( " $\"34+=+34\"$
\n" ); document.write( "OK \n" ); document.write( "

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