document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316791>Question 316791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) Find two consecutive even numbers such that the difference of one-half of the larger and two-fifths of the smaller is equal to five.\r<BR>\n" );
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document.write( "2)Find three consecutive numbers such that the sum of one-third of the first and one-seventh of the second is two less that one-half of the third.  Help me please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226875 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Find two consecutive even numbers such that the difference of one-half of the larger and two-fifths of the smaller is equal to five.<BR>\n" );
document.write( "Two consecutive even numbers; x, (x+2), (we can us decimals here 2/5 = .4)<BR>\n" );
document.write( ".5(x+2) - .4x = 5<BR>\n" );
document.write( ".5x + 1 - .4x = 5<BR>\n" );
document.write( ".5x - .4x = 5 + 1<BR>\n" );
document.write( ".1x = 4<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F.1 ALIGN=MIDDLE  ALT=\"4%2F.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 40<BR>\n" );
document.write( "40,42 are the numbers<BR>\n" );
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document.write( ".5(42) - .4(40) = <BR>\n" );
document.write( "21 - 16 = 5<BR>\n" );
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document.write( "2)Find three consecutive numbers such that the sum of one-third of the first and one-seventh of the second is two less that one-half of the third<BR>\n" );
document.write( "x, (x+1), (x+2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x+1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x+2) - 2<BR>\n" );
document.write( "Get rid of those annoying fractions, multiply by 42, results:<BR>\n" );
document.write( "14x + 6(x+1) = 21(x+2) - 42(2)<BR>\n" );
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document.write( "14x + 6x + 6 = 21x + 42 - 84<BR>\n" );
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document.write( "20x + 6 = 21x - 42<BR>\n" );
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document.write( "6 + 42 = 21x - 20x<BR>\n" );
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document.write( "48 = x<BR>\n" );
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document.write( "48, 49, 50 are the three numbers<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(48) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(49) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(50) - 2<BR>\n" );
document.write( "16 + 7 = 25 - 2<BR>\n" );
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