document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87230>Question 87230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. George is 12 years older than Jeannie. The sum of their ages in 5 years will be 50. How old is Jeannie now? \r<BR>\n" );
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document.write( "a. Define the variables. \r<BR>\n" );
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document.write( "b. Write an expression for the age of George in terms of Jeannie's age. \r<BR>\n" );
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document.write( "c. Write an equation for the sum of their ages in 5 years from now. \r<BR>\n" );
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document.write( "d. Solve the equation for the age of Jeannie now. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63181 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=63181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> George is 12 years older than Jeannie. The sum of their ages in 5 years will be 50. How old is Jeannie now? \r<BR>\n" );
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document.write( "a. Define the variables. <BR>\n" );
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document.write( "Just to help us remember what is what, let's use G to represent George's current age and<BR>\n" );
document.write( "J to represent Jeannie's current age.<BR>\n" );
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document.write( "b. Write an expression for the age of George in terms of Jeannie's age. <BR>\n" );
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document.write( "The problem tells you that George is 12 years older than Jeannie.  That means if you subtract<BR>\n" );
document.write( "12 from George's age, the answer should be Jeannie's age. In equation form this would be:<BR>\n" );
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document.write( "G - 12 = J<BR>\n" );
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document.write( "Solve for G by adding 12 to both sides to get:<BR>\n" );
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document.write( "G = J + 12<BR>\n" );
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document.write( "c. Write an equation for the sum of their ages in 5 years from now. <BR>\n" );
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document.write( "Five years from now George's age will be G + 5 and Jeannie's age will be J + 5. The problem<BR>\n" );
document.write( "tells you that the sum of these ages will be 50.  In equation form this would be:<BR>\n" );
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document.write( "G + 5 + J + 5 = 50<BR>\n" );
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document.write( "By adding the two 5s on the left side this simplifies to:<BR>\n" );
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document.write( "G + J + 10 = 50<BR>\n" );
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document.write( "And subtracting 10 from both sides further simplifies this equation to:<BR>\n" );
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document.write( "G + J = 40<BR>\n" );
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document.write( "d. Solve the equation for the age of Jeannie now. <BR>\n" );
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document.write( "Start with the equation from part c:<BR>\n" );
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document.write( "G + J = 40<BR>\n" );
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document.write( "But way back in part b it is known that G = J + 12.  Substitute the right side of this<BR>\n" );
document.write( "equation in place of G and get:<BR>\n" );
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document.write( "J + 12 + J = 40<BR>\n" );
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document.write( "Add the two Js and the equation becomes:<BR>\n" );
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document.write( "2J + 12 = 40<BR>\n" );
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document.write( "Subtract 12 from both sides results in:<BR>\n" );
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document.write( "2J = 28<BR>\n" );
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document.write( "Divide both sides by 2 to solve for J and you get:<BR>\n" );
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document.write( "J = 28/2 = 14<BR>\n" );
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document.write( "This tells us that Jeannie is 14 years old at present.<BR>\n" );
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document.write( "That means that George, who is 12 years older, is 26 at present. <BR>\n" );
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document.write( "Five years from now, Jeannie will be 14 + 5 or 19 years old. And George will be 26 + 5<BR>\n" );
document.write( "or 31 years old.  The sum of their ages will be 19 + 31 which is 50, just as the problem<BR>\n" );
document.write( "said it should be.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.\r<BR>\n" );
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