document.write( "Question 1063054: Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers. Find the smallest odd integer \n" ); document.write( "

Algebra.Com's Answer #678082 by josmiceli(19441) $\"\"$ $\"About$

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Let the consecutive odd integers be:
\n" ); document.write( " $\"+n+\"$ , $\"+n+%2B+2+\"$ , $\"+n+%2B+4+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( " $\"+5%2A%28+n+%2B+2+%29+=+3%2A%28+n+%2B+n+%2B+4+%29+-+13+\"$
\n" ); document.write( " $\"+5n+%2B+10+=+6n+%2B+12+-+13+\"$
\n" ); document.write( " $\"+n+=+10+%2B+13+-+12+\"$
\n" ); document.write( " $\"+n+=+23+-+12+\"$
\n" ); document.write( " $\"+n+=+11+\"$
\n" ); document.write( "The smallest odd integer is 11
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+5%2A%28+n+%2B+2+%29+=+3%2A%28+n+%2B+n+%2B+4+%29+-+13+\"$
\n" ); document.write( " $\"+5%2A13+=+3%2A%28+11+%2B+15+%29+-+13+\"$
\n" ); document.write( " $\"+65+=+3%2A26+-+13+\"$
\n" ); document.write( " $\"+65+=+78+-+13+\"$
\n" ); document.write( " $\"+65+=+65+\"$
\n" ); document.write( "OK \n" ); document.write( "

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