document.write( "Question 102479: The sum of four consecutive odd integers is 216. Find the four integers. \n" ); document.write( "

Algebra.Com's Answer #74499 by Fombitz(32388) $\"\"$ $\"About$

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Four consecutive odd integers named W,X,Y, and Z have the following relationship.
\n" ); document.write( " $\"W+=+W\"$
\n" ); document.write( " $\"X+=+W+%2B+2+\"$
\n" ); document.write( " $\"Y+=+X+%2B+2+=+%28W%2B2%29+%2B+2+=+W+%2B+4+\"$
\n" ); document.write( " $\"Z+=+Y+%2B+2+=+%28W%2B4%29+%2B+2+=+W+%2B+6+\"$
\n" ); document.write( "Their sum equals 216.
\n" ); document.write( " $\"W%2BX%2BY%2BZ=216\"$
\n" ); document.write( " $\"W%2B%28W%2B2%29%2B%28W%2B4%29%2B%28W%2B6%29=216\"$ Substitute.
\n" ); document.write( " $\"4%2AW%2B12=216\"$ Simplify.
\n" ); document.write( " $\"4%2AW%2B12-12=216-12\"$ Additive Inverse of 12.
\n" ); document.write( " $\"4%2AW=204\"$ Simplify.
\n" ); document.write( " $\"4%2AW%2F4=204%2F4\"$ Multiplicative Inverse of 4.
\n" ); document.write( "W=51
\n" ); document.write( "X=53
\n" ); document.write( "Y=55
\n" ); document.write( "Z=57
\n" ); document.write( "Check your answer
\n" ); document.write( " $\"51%2B53%2B55%2B57+=+216\"$
\n" ); document.write( " $\"216+=+216\"$
\n" ); document.write( "Good answer.
\n" ); document.write( " \n" ); document.write( "

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