document.write( "Question 178836: Find 4 consecutive even integers where the product of two smaller numbers is 56 less than the product of the two larger numbers. \n" ); document.write( "

Algebra.Com's Answer #133860 by josmiceli(19441) $\"\"$ $\"About$

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Call the smallest interger $\"n\"$
\n" ); document.write( "The next larger even integer is $\"n+%2B+2\"$
\n" ); document.write( "The next larger even integer is $\"n+%2B+4\"$
\n" ); document.write( "The next larger even integer is $\"n+%2B+6\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"n%28n%2B2%29+=+%28n%2B4%29%28n%2B6%29+-+56\"$
\n" ); document.write( " $\"n%5E2+%2B+2n+=+n%5E2+%2B+10n+%2B+24+-+56\"$
\n" ); document.write( " $\"8n+=+56+-+24\"$
\n" ); document.write( " $\"8n+=+32\"$
\n" ); document.write( " $\"n+=+4\"$
\n" ); document.write( " $\"n%2B2+=+6\"$
\n" ); document.write( " $\"n%2B4+=+8\"$
\n" ); document.write( " $\"n%2B6+=+10\"$
\n" ); document.write( "The numbers are 4,6,8,and 10
\n" ); document.write( "check:
\n" ); document.write( " $\"n%28n%2B2%29+=+%28n%2B4%29%28n%2B6%29+-+56\"$
\n" ); document.write( " $\"4%284%2B2%29+=+%284%2B4%29%284%2B6%29+-+56\"$
\n" ); document.write( " $\"4%2A6+=+8%2A10+-+56\"$
\n" ); document.write( " $\"24+=+24\"$
\n" ); document.write( "OK \n" ); document.write( "

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