document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=603032>Question 603032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three numbers are such that the second is six less than three times the first, and the third is two more than two-thirds of the second. If the sum of the numbers is 172, find the smallest number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380620 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=380620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three numbers: a, b, c<BR>\n" );
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document.write( " are such that the second is six less than three times the first,<BR>\n" );
document.write( "b = 3a - 6<BR>\n" );
document.write( "or<BR>\n" );
document.write( "3a = b + 6<BR>\n" );
document.write( "divide by 3<BR>\n" );
document.write( "a = <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;\" >b + 2<BR>\n" );
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document.write( "and the third is two more than two-thirds of the second.<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >b + 2<BR>\n" );
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document.write( "If the sum of the numbers is 172,<BR>\n" );
document.write( "a + b + c = 172<BR>\n" );
document.write( "Replace a, and c<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;\" >b + 2) + b + (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >b + 2) = 172<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "2b + 4 = 172<BR>\n" );
document.write( "2b = 172 - 4<BR>\n" );
document.write( "2b = 168<BR>\n" );
document.write( "b = 168/2<BR>\n" );
document.write( "b = 84 is the 2nd number<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a = <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;\" >(84) + 2<BR>\n" );
document.write( "a = 28 + 2<BR>\n" );
document.write( "a = 30 is the 1st number<BR>\n" );
document.write( "and<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(84) + 2<BR>\n" );
document.write( "c = 56 + 2<BR>\n" );
document.write( "c = 58<BR>\n" );
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document.write( "Check: 30 + 84 + 58 = 172<BR>\n" );
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document.write( "find the smallest number. 30 </SPAN>\n" );
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