document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903143>Question 903143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if you add jasons and heathers age you get 51. jason is 9 years younger then twice heathers age. find out both ages.\r<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 #547829 by </B><A HREF=/tutors/aboutme.mpl?userid=tutoringisfun2><B>tutoringisfun2(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutoringisfun2><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=547829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first you write down the information given in the problem above. <BR>\n" );
document.write( "J= Jason's age<BR>\n" );
document.write( "H=Heather's age<BR>\n" );
document.write( "in the problem it says that if you add Jason's age and Heather's age you get 51. So the 1st equation that we write is: J+H=51<BR>\n" );
document.write( "We also know from the information stated in the problem that Jason's age is equal to twice Heather's age - 9 years. From this information we can get the equation J=2H-9<BR>\n" );
document.write( "Now substitute 2H-9 for J and solve the equation:\r<BR>\n" );
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document.write( "2H-9+H=51<BR>\n" );
document.write( "combining like terms we get 3H-9=51<BR>\n" );
document.write( "we need to get H by itself. In order to do that you have to add 9 to both sides of the equation, the -9 and the +9 on the left side cancel each other out so you are left with<BR>\n" );
document.write( "3H=51+9<BR>\n" );
document.write( "add 51+9 and you get 60 so 3H=60<BR>\n" );
document.write( "in order to get H by itself you have to divide by 3. 60/3=20<BR>\n" );
document.write( "Therefore H=20. So heather is 20 years old.<BR>\n" );
document.write( "To find Jason's age we take H which is 20 and plug it into the equation J=2H-9 as follows:<BR>\n" );
document.write( "J=2(20)-9 Solving this equation gives us the following:<BR>\n" );
document.write( "J=40-9 <BR>\n" );
document.write( "J=31. So Jason is 31. You can check your answer by plugging both values for H and J into the original equation J+H=51.<BR>\n" );
document.write( "31+20=51. This is a true statement, so the answer is correct.<BR>\n" );
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