document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929665>Question 929665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Immeadiate Help! Pls answer all with solution and explanation.<BR>\n" );
document.write( "1.One number is 38 less than another. Their sum is 82. Find the numbers<BR>\n" );
document.write( "2.One number is 8 more than thrice another.Find the number if their sum is 36<BR>\n" );
document.write( "3.Separate 30 into two parts such that one number is 8 more than the other<BR>\n" );
document.write( "4.One number is 4 more than 3 times another.Find the nunbersif their sum is 60.<BR>\n" );
document.write( "5. The difference between 6 times a number and 12<BR>\n" );
document.write( " equals the sum of the number and 13. Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564417 by </B><A HREF=/tutors/aboutme.mpl?userid=EdenWolf><B>EdenWolf(517)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=EdenWolf><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=EdenWolf><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=564417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Let's say x is a number. Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-38 ALIGN=MIDDLE  ALT=\"x-38\"   DISABLED_style= \"max-width:90%; height:auto;\" > be one of the numbers, which is 38 less than the other, and plain ol' <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the other. Set this up as an equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx-38=82 ALIGN=MIDDLE  ALT=\"x%2Bx-38=82\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-38=82 ALIGN=MIDDLE  ALT=\"2x-38=82\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add 38 on both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=120 ALIGN=MIDDLE  ALT=\"2x=120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by 2.<BR>\n" );
document.write( "120 divided by 2 is 60.\r<BR>\n" );
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document.write( "So one number is 60, and the other number which is 38 less than the other, (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60-38 ALIGN=MIDDLE  ALT=\"60-38\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 22.\r<BR>\n" );
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document.write( "Answer: 60 and 22\r<BR>\n" );
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document.write( "~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "2. Again, x is one number, and the other number will be represented as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B8 ALIGN=MIDDLE  ALT=\"3x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Set this up into an equation once again.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3x%2B8=36 ALIGN=MIDDLE  ALT=\"x%2B3x%2B8=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B8=36 ALIGN=MIDDLE  ALT=\"4x%2B8=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 8 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=28 ALIGN=MIDDLE  ALT=\"4x=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide 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=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But wait! We're not done yet! Let's find the other number. Plug in 7 into the place where the x is. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%287%29%2B8 ALIGN=MIDDLE  ALT=\"3%287%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2B8 ALIGN=MIDDLE  ALT=\"21%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29 ALIGN=MIDDLE  ALT=\"29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the numbers are 7 and 29.<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "3. Let one number be x and another <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B8 ALIGN=MIDDLE  ALT=\"x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Put it into an equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30=x%2B8%2Bx ALIGN=MIDDLE  ALT=\"30=x%2B8%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30=2x%2B8 ALIGN=MIDDLE  ALT=\"30=2x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22=2x ALIGN=MIDDLE  ALT=\"22=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find the other number: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2B8=19 ALIGN=MIDDLE  ALT=\"11%2B8=19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One number is 19 and the other is 11.<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "4. Let one number be x and another number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4 ALIGN=MIDDLE  ALT=\"3x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Set it into an equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4%2Bx=60 ALIGN=MIDDLE  ALT=\"3x%2B4%2Bx=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B4=60 ALIGN=MIDDLE  ALT=\"4x%2B4=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=56 ALIGN=MIDDLE  ALT=\"4x=56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14 ALIGN=MIDDLE  ALT=\"x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find the other number: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A14%2B4=46 ALIGN=MIDDLE  ALT=\"3%2A14%2B4=46\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So one number is 14 and another is 46.\r<BR>\n" );
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document.write( "~~~~~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "5. For this one, you only need one number, x. Put it into an equation. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-12=x%2B13 ALIGN=MIDDLE  ALT=\"6x-12=x%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-12=13 ALIGN=MIDDLE  ALT=\"5x-12=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=25 ALIGN=MIDDLE  ALT=\"5x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The number is 5.<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "I hope I helped you. Enjoy! </SPAN>\n" );
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