document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150559>Question 1150559</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If you add​ Natalie's age and​ Fred's age, the result is 38. If you add​ Fred's age to 4 times​ Natalie's age, the result is 74. Write and solve a system of equations to find how old Fred and Natalie are. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771919 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=771919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"times\" color=\"black\" size=\"3\"><BR>\n" );
document.write( "N = Natalie's age<BR>\n" );
document.write( "F = Fred's age<BR>\n" );
document.write( "both ages are in years, and they are current present day ages\r<BR>\n" );
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document.write( "\"If you add Natalie's age and Fred's age, the result is 38.\" means the first equation is F+N = 38. <BR>\n" );
document.write( "Solve for F to get F = 38 - N. You subtract N from both sides. We'll use this equation later.\r<BR>\n" );
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document.write( "\"If you add Fred's age to 4 times Natalie's age, the result is 74.\" so the second equation is <BR>\n" );
document.write( "F + 4*N = 74\r<BR>\n" );
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document.write( "Now plug in F = 38 - N. Solve for N.<BR>\n" );
document.write( "F + 4*N = 74<BR>\n" );
document.write( "38 - N + 4*N = 74 ... replaced F with 38-N<BR>\n" );
document.write( "38 + 3N = 74<BR>\n" );
document.write( "38 + 3N-38 = 74-38 .... subtracting 38 from both sides<BR>\n" );
document.write( "3N = 36<BR>\n" );
document.write( "3N/3 = 36/3 .... divide both sides by 3<BR>\n" );
document.write( "N = 12\r<BR>\n" );
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document.write( "Use this to find Fred's age<BR>\n" );
document.write( "F = 38 - N<BR>\n" );
document.write( "F = 38 - 12 ... plug in N = 12<BR>\n" );
document.write( "F = 26\r<BR>\n" );
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document.write( "To summarize, the system of equations is<BR>\n" );
document.write( "F + N = 38<BR>\n" );
document.write( "F + 4N = 74\r<BR>\n" );
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document.write( "Solving said system leads to N = 12 and F = 26. This means Natalie is 12 years old and Fred is 26 years old. \r<BR>\n" );
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