document.write( "Question 339697: Find three consecutive odd integers such that the sum of the first and twice the second is equal to 15 more than twice the third. \n" ); document.write( "

Algebra.Com's Answer #243352 by josmiceli(19441) $\"\"$ $\"About$

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Call the smallest integer $\"n\"$
\n" ); document.write( "The 3 integers are $\"n\"$ , $\"n%2B2\"$ , and $\"n+%2B+4\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"n+%2B+2%2A%28n+%2B+2%29+=+2%2A%28n+%2B+4%29+%2B+15\"$
\n" ); document.write( " $\"n+%2B+2n+%2B+4+=+2n+%2B+8+%2B+15\"$
\n" ); document.write( " $\"3n+%2B+4+=+2n+%2B+23\"$
\n" ); document.write( " $\"n+=+23+-+4\"$
\n" ); document.write( " $\"n+=+19\"$
\n" ); document.write( " $\"n+%2B+2+=+21\"$
\n" ); document.write( " $\"n+%2B+4+=+23\"$
\n" ); document.write( "The consecutive odd integers are 19, 21, 23
\n" ); document.write( "check:
\n" ); document.write( " $\"n+%2B+2%2A%28n+%2B+2%29+=+2%2A%28n+%2B+4%29+%2B+15\"$
\n" ); document.write( " $\"19+%2B+2%2A21+=+2%2A23+%2B+15\"$
\n" ); document.write( " $\"61+=+61\"$
\n" ); document.write( "OK \n" ); document.write( "

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