document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760719>Question 760719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive even integers such that the lesser  added to three times the greater gives a sum of 46 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462849 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=462849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the smaller even integer be n.\r<BR>\n" );
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document.write( "Then the next consecutive even integer is n+2 (because successive even numbers have a difference of 2)\r<BR>\n" );
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document.write( "Given that smaller + 3 times the bigger number gives sum of 46. We can write it algebraically as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+3%2A%28n%2B2%29+=+46 ALIGN=MIDDLE  ALT=\"n+%2B+3%2A%28n%2B2%29+=+46\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- equation (1)\r<BR>\n" );
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document.write( "Expanding the brackets, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+3%2An+%2B+6+=+46 ALIGN=MIDDLE  ALT=\"n+%2B+3%2An+%2B+6+=+46\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Adding like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2An+%2B+6+=+46 ALIGN=MIDDLE  ALT=\"4%2An+%2B+6+=+46\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting 6 from both sides to get rid of the \"6\" on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2An+%2B+6+-+6+=+46+-+6 ALIGN=MIDDLE  ALT=\"4%2An+%2B+6+-+6+=+46+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2An+=+40 ALIGN=MIDDLE  ALT=\"4%2An+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Dividing both sides by 4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+40%2F4+=+10 ALIGN=MIDDLE  ALT=\"n+=+40%2F4+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the smaller number is 10 and the next number is 12. The two consecutive even integers are 10 and 12.\r<BR>\n" );
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document.write( "To check the answer, substitute n with 10 in equation (1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+%2B+3%2A12+=+10+%2B+36+=+46 ALIGN=MIDDLE  ALT=\"10+%2B+3%2A12+=+10+%2B+36+=+46\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ---> which is true.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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