document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574257>Question 574257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number is 6 times bigger than anather number. Calculate the values of the numbers if their differences is 12. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369004 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=369004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the bigger number and y be the smaller number.<BR>\n" );
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document.write( "You are told that x (the bigger number) is 6 times y (the smaller number). Therefore we can write the equation:<BR>\n" );
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document.write( "x = 6y<BR>\n" );
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document.write( "Then you are told that the difference between the two numbers is 12. That means that if you subtract y from x, the answer is 12. In equation form this is:<BR>\n" );
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document.write( "x - y = 12<BR>\n" );
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document.write( "But from the first equation, you know that x is equal to 6y. Therefore, in the second equation you can replace x with its equal 6y and this changes the second equation to:<BR>\n" );
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document.write( "6y - y = 12<BR>\n" );
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document.write( "Do the subtraction on the left side and you have:<BR>\n" );
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document.write( "5y = 12<BR>\n" );
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document.write( "Solve for y by dividing both sides of this equation by 5 and you get:<BR>\n" );
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document.write( "y = 12/5<BR>\n" );
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document.write( "And when you divide 5 into 12 you get 2.4  So you know that y, which is the smaller number, equals 2.4  And x, the larger number, equals 6 times y or 6 times 2.4  Multiply 6 times 2.4 and you get 14.4<BR>\n" );
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document.write( "The two numbers are 14.4 and 2.4<BR>\n" );
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document.write( "Check by subtracting the two numbers and you find that the difference is 12, just as the problem says it should be. And when you multiply 6 times the smaller number (6 times 2.4) you get 14.4  So the larger number (14.4) is 6 times the smaller number (2.4) which is also just as the problem says it should be. <BR>\n" );
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document.write( "I hope this helps you to understand the problem a little better and that you can understand a process showing how the problem can be solved.<BR>\n" );
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