document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100844>Question 100844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 17. The second number is 2 more than twice the first number.  Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73415 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=73415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem asks you to find two unknown numbers. So let's start by calling one number x and<BR>\n" );
document.write( "the other number y.<BR>\n" );
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document.write( "The problem tells you that if you add the two numbers, the sum is 17. In equation form this<BR>\n" );
document.write( "can be written as:<BR>\n" );
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document.write( "x + y = 17 <=== call this equation 1<BR>\n" );
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document.write( "The problem then tells you that the second number (call it y) is 2 more than twice the other<BR>\n" );
document.write( "number. That means it equals 2 more than 2x. So in equation form you can write:<BR>\n" );
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document.write( "y = 2x + 2 <=== call this equation 2<BR>\n" );
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document.write( "Return to equation 1. If you subtract x from both sides of this equation you change that<BR>\n" );
document.write( "equation to y = 17 - x. Since we now know that y equals 17 - x we can replace y by 17 - x<BR>\n" );
document.write( "in equation 2 to get:<BR>\n" );
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document.write( "17 - x = 2x + 2<BR>\n" );
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document.write( "Let's collect the x terms on the left side of this equation and the numbers on the right side <BR>\n" );
document.write( "of the equation.  Start by getting rid of the 17 on the left side by subtracting  17 from both <BR>\n" );
document.write( "sides to get:<BR>\n" );
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document.write( "-x = 2x -15<BR>\n" );
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document.write( "Then get rid of the 2x on the right side by subtracting 2x from both sides to get:<BR>\n" );
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document.write( "-3x = -15<BR>\n" );
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document.write( "Now you can solve for x by dividing both sides of this equation by -3. When you do that<BR>\n" );
document.write( "division the result is:<BR>\n" );
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document.write( "x = -15/-3 = 5<BR>\n" );
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document.write( "So one of the numbers is 5. And since the two numbers total 17, the other number must be <BR>\n" );
document.write( "17 - 5 = 12.  <BR>\n" );
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document.write( "As a quick check, you can double the smaller number and add 2. In other words, 2 times 5<BR>\n" );
document.write( "equals 10 and add 2 to get 12. That equals the second number, so our answer is correct.<BR>\n" );
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document.write( "The two numbers you were asked to find are 5 and 12.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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