document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070761>Question 1070761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> barbara's age is 5 years less than her brother's age if her age is increased by 3 times her brother's age the result is 51 years find each of their age. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685858 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52792)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "barbara's age is 5 years less than her brother's age if her age is increased by 3 times her brother's age the result is 51 years <BR>\n" );
document.write( "find each of their age.<BR>\n" );
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document.write( "The \"josgarithmetic\" solution is WRONG.\r<BR>\n" );
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document.write( "Let \"x\" be the Barbara's age, \"y\" be her brother age.\r\n" );
document.write( "Then \r\n" );
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document.write( "x = y-5,       (1)\r\n" );
document.write( "x + 3y = 51.   (2)\r\n" );
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document.write( "Substitute expression (1) into equation (2), replacing y. You will get\r\n" );
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document.write( "(y-5) + 3y = 51.\r\n" );
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document.write( "4y - 5 = 51  --->  4y = 51 + 5 = 56   --->  y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2F4 ALIGN=MIDDLE  ALT=\"56%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 14.\r\n" );
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document.write( "Thus the brother's age is 14 years. Then the Barbara's age is 14-5 = 9 years.\r\n" );
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document.write( "<U>Answer</U>.  Barbara is 9 years. Her brother is 14 years.\r\n" );
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document.write( "There is a bunch of lessons on age word problems \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/age/Age-problems-and-their-solutions.lesson>Age problems and their solutions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/age/Fresh-formulation-of-a-traditional-age-problem.lesson>A fresh formulation of a traditional age problem</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/age/Really-intricate-age-word-problem.lesson>Really intricate age word problem</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/age/Selected-age-word-problems-from-the-archive.lesson>Selected age word problems from the archive</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Read them and become an expert in solving age problems.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic \"<U>Age word problems</U>\".\r<BR>\n" );
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document.write( "One notice at the end. The phrase\r<BR>\n" );
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document.write( "\"Barbara's age is 5 years less than her brother's age.\"\r<BR>\n" );
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document.write( "doesn't sound harmonically/naturally in English. They say\r<BR>\n" );
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document.write( "\"Barbara is 5 years younger than her brother.\"\r<BR>\n" );
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document.write( "Same for \"find each of their age.\"\r<BR>\n" );
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document.write( " </SPAN>\n" );
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