document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101404>Question 101404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive integers such that the sum of 8 times the first integer and 7 times the second integer is 127  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73842 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you let x represent the first of the consecutive numbers, then the next consecutive<BR>\n" );
document.write( "integer is 1 more than that. So the two consecutive integers can be represented by x and x+1.<BR>\n" );
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document.write( "Then you are told that 8 times the first integer (that would be 8*x) and 7 times the second<BR>\n" );
document.write( "integer (that would be 7*(x + 1) which multiplies out to 7x + 7) will add together to equal 127.<BR>\n" );
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document.write( "So we can write the equation:<BR>\n" );
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document.write( "8x + 7x + 7 = 127<BR>\n" );
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document.write( "Adding the two terms that contain x results in:<BR>\n" );
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document.write( "15x + 7 = 127<BR>\n" );
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document.write( "Get rid of the 7 on the left side by subtracting 7 from both sides to get:<BR>\n" );
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document.write( "15x = 120<BR>\n" );
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document.write( "Solve for x by dividing both sides of this equation by 15, the multiplier of x to get:<BR>\n" );
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document.write( "x = 120/15 = 8<BR>\n" );
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document.write( "This tells you that the first integer is 8 so the next consecutive integer is 1 more than that<BR>\n" );
document.write( "which means that it is 9. The answer is that the two integers are 8 and 9.<BR>\n" );
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document.write( "Check this. 8 times 8 = 64 and 9 times 7 = 63. If you add 64 and 63 together you do get 127,<BR>\n" );
document.write( "just as the problem said you should. So our answer checks OK.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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