document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934664>Question 934664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear sir/madam,\r<BR>\n" );
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document.write( "Thank you very much for taking the time to help me.\r<BR>\n" );
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document.write( "This is my problem:\r<BR>\n" );
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document.write( "The sum of the present ages of Ian and his brother is 45. In 5 years, Ian’s age will be five-sixths of his brother’s age. Find their present ages.\r<BR>\n" );
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document.write( "And this is my attempt:\r<BR>\n" );
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document.write( "Let: i = Ian's current age<BR>\n" );
document.write( "     b = Ian's brother's current age\r<BR>\n" );
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document.write( "Therefore, the equation for their current ages is:\r<BR>\n" );
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document.write( "i + b = 45\r<BR>\n" );
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document.write( "And in 5 years time:\r<BR>\n" );
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document.write( "(5/6)b + 5 + b + 5 = 45 + 5\r<BR>\n" );
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document.write( "(5/6)b + (6/6)b + 10 = 6(50)\r<BR>\n" );
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document.write( "5b + 6b + 10 = 300\r<BR>\n" );
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document.write( "11b +10 = 300\r<BR>\n" );
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document.write( "11b +10 - 10 = 300 - 10\r<BR>\n" );
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document.write( "11b = 290\r<BR>\n" );
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document.write( "11b/11 = 290/11\r<BR>\n" );
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document.write( "b = 26.36\r<BR>\n" );
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document.write( "Working this answer back into the original equation I get 58.32 which does not equal 50 (i.e. 45 + 5)\r<BR>\n" );
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document.write( "Thank you kindly for you help.\r<BR>\n" );
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document.write( "Kindest regards,\r<BR>\n" );
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document.write( "Mark Beaton </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567669 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=567669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the present ages of Ian and his brother is 45. In 5 years, Ian’s age will be five-sixths of his brother’s age. Find their present ages.\r<BR>\n" );
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document.write( "I+b=45<BR>\n" );
document.write( "I=45-b\r<BR>\n" );
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document.write( "after 5 years Ian's age = I+5<BR>\n" );
document.write( "brothers age = b+5\r<BR>\n" );
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document.write( "condition<BR>\n" );
document.write( "(I+5) = (5/6)(b+5)\r<BR>\n" );
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document.write( "6(I+5)=5(b+5)\r<BR>\n" );
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document.write( "6I+30 =5b+25<BR>\n" );
document.write( "6I-5b=-5<BR>\n" );
document.write( "substitute I \r<BR>\n" );
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document.write( "6(b-5) -5b=-5\r<BR>\n" );
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document.write( "6b-30-5b=-5<BR>\n" );
document.write( "b=30-5<BR>\n" );
document.write( "b=25\r<BR>\n" );
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document.write( "If b= 25<BR>\n" );
document.write( "then I = 20\r<BR>\n" );
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document.write( "because their sum is 45 </SPAN>\n" );
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