document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922232>Question 922232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two number has a sum of 125 and a difference of 25. What is the value of the bigger number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559449 by </B><A HREF=/tutors/aboutme.mpl?userid=tutoringisfun><B>tutoringisfun(17)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutoringisfun><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=tutoringisfun><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=559449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Good evening student. I hope this answer is helpful to you today. \r<BR>\n" );
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document.write( "1. from the problem we can deduce the following:\r<BR>\n" );
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document.write( "x+y=125<BR>\n" );
document.write( "x-y=25\r<BR>\n" );
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document.write( "2. solve the second equation for y by:\r<BR>\n" );
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document.write( "a. adding y to both sides\r<BR>\n" );
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document.write( "x-y+y=25+y\r<BR>\n" );
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document.write( "the y's on the left cancel out leaving:\r<BR>\n" );
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document.write( "x=25+y\r<BR>\n" );
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document.write( "3. substitute the above equation into the original equation from the problem:\r<BR>\n" );
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document.write( "25+y+y=125\r<BR>\n" );
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document.write( "a. combine like terms on the left yields:\r<BR>\n" );
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document.write( "25+2y=125\r<BR>\n" );
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document.write( "b. to isolate y subtract 25 from each side leaving:\r<BR>\n" );
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document.write( "25-25+2y=125-25\r<BR>\n" );
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document.write( "c. simplify\r<BR>\n" );
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document.write( "the 25's on the left cancel out leaving:\r<BR>\n" );
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document.write( "2y=100\r<BR>\n" );
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document.write( "c. divide both sides by 2\r<BR>\n" );
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document.write( "2y/2=100\2\r<BR>\n" );
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document.write( "d. simplify<BR>\n" );
document.write( "y=50\r<BR>\n" );
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document.write( "4. substitute the above value for y in the equation:<BR>\n" );
document.write( "x+y=125\r<BR>\n" );
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document.write( "this gives us\r<BR>\n" );
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document.write( "x+50=125\r<BR>\n" );
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document.write( "5. subtract 50 from each side to isolate x leaving:\r<BR>\n" );
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document.write( "x+50-50=125-50\r<BR>\n" );
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document.write( "6. simplify:\r<BR>\n" );
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document.write( "x=75 Therefore, the bigger number is 75.\r<BR>\n" );
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document.write( "CHECK\r<BR>\n" );
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document.write( "plug both values into each equation and see if it is a true statement:\r<BR>\n" );
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document.write( "75+50=125 <BR>\n" );
document.write( "125=125\r<BR>\n" );
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document.write( "75-50=25<BR>\n" );
document.write( "25=25\r<BR>\n" );
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document.write( "I hope this answer has been helpful to you. If you desire paid assistance in the future, you can contact via several websites:<BR>\n" );
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