document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129626>Question 1129626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Half of an integer exceeds one-third of the next integer by unity. Find the integer.\r<BR>\n" );
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document.write( "2. The denominator of a fraction is 2 more than the numerator if 1 is added to both,the fraction is reduced to to 4/5 find the fraction.\r<BR>\n" );
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document.write( "3.divide 50 into two parts such that if 6is subtracted from one part and 12is added to the second part , we get the same number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746207 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=746207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Half of an integer exceeds one-third of the next integer by unity. Find the integer.<BR>\n" );
document.write( "<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;\" >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;\" >(a+1) + 1 <BR>\n" );
document.write( "multiply by 6, cancel the denominators<BR>\n" );
document.write( "3a = 2(a+1) + 6<BR>\n" );
document.write( "3a = 2a + 2 + 6<BR>\n" );
document.write( "3a - 2a = 8<BR>\n" );
document.write( "a = 8<BR>\n" );
document.write( "Check this in the given statement<BR>\n" );
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document.write( "2. The denominator of a fraction is 2 more than the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2F%28%28n%2B2%29%29 ALIGN=MIDDLE  ALT=\"n%2F%28%28n%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " if 1 is added to both, the fraction is reduced to to 4/5 find the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B1%29%2F%28%28n%2B2%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28n%2B1%29%2F%28%28n%2B2%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n%2B1%29%29%2F%28%28n%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28n%2B1%29%29%2F%28%28n%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "5(n+1) = 4(n+3)<BR>\n" );
document.write( "5n + 5 = 4n + 12<BR>\n" );
document.write( "5n - 4n = 12 - 5<BR>\n" );
document.write( "n = 7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F9 ALIGN=MIDDLE  ALT=\"7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the fraction<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "Add 1 to both and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F10 ALIGN=MIDDLE  ALT=\"8%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > which reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "3.divide 50 into two parts<BR>\n" );
document.write( "a + b = 50<BR>\n" );
document.write( " such that if 6 is subtracted from one part and 12 is added to the second part, we get the same number.  <BR>\n" );
document.write( "a - 6 = b + 12<BR>\n" );
document.write( "a - b = 12 + 6<BR>\n" );
document.write( "a - b = 18<BR>\n" );
document.write( "Use elimination on these two equations<BR>\n" );
document.write( "a + b = 50<BR>\n" );
document.write( "a - b = 18<BR>\n" );
document.write( "------------addition eliminates b, find a<BR>\n" );
document.write( "2a + 0 = 68<BR>\n" );
document.write( "a = 68/2<BR>\n" );
document.write( "a = 34<BR>\n" );
document.write( "then obviously,<BR>\n" );
document.write( "b = 16<BR>\n" );
document.write( "Check see if this flies in the statement<BR>\n" );
document.write( "\"if 6 is subtracted from one part and 12 is added to the second part, we get the same number.\"<BR>\n" );
document.write( "34 - 6 = 16 + 12<BR>\n" );
document.write( " </SPAN>\n" );
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