document.write( "Question 228595: find two consecutive even integers such that twice the larger is forty less than three times the smaller. \n" ); document.write( "

Algebra.Com's Answer #169648 by rapaljer(4671) $\"\"$ $\"About$

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Let x= smaller integer
\n" ); document.write( "x+2 = larger integer\r
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\n" ); document.write( "\n" ); document.write( "Twice the larger IS forty less than 3 times smaller
\n" ); document.write( "2(x+2) = 3x-40
\n" ); document.write( "2x+4 = 3x-40\r
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\n" ); document.write( "\n" ); document.write( "Subtract 2x from each side:
\n" ); document.write( "2x-2x+4 = 3x-2x-40
\n" ); document.write( "4=x-40 \r
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\n" ); document.write( "\n" ); document.write( "Add +40 to each side
\n" ); document.write( "4+40=x-40+40
\n" ); document.write( "44=x
\n" ); document.write( "x=44
\n" ); document.write( "x+2 = 46\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "Twice the larger is 40 less than 3 times the smaller.
\n" ); document.write( "2*46= 3*44-40
\n" ); document.write( "92= 132 - 40
\n" ); document.write( "It checks!\r
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\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired
\n" ); document.write( "Seminole State College
\n" ); document.write( "Altamonte Springs Campus \n" ); document.write( "

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