document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841330>Question 841330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X times age of John is equal to Y times age of Alice. Difference between their ages is M. John is older to Alice. Find their 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 #506939 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=506939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X times age of John is equal to Y times age of Alice.<BR>\n" );
document.write( " Difference between their ages is M. John is older to Alice.<BR>\n" );
document.write( " Find their ages.<BR>\n" );
document.write( "j = John's age<BR>\n" );
document.write( "a = Alice's age<BR>\n" );
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document.write( "\"X times age of John is equal to Y times age of Alice.\" <BR>\n" );
document.write( "jx = ay<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"Difference between their ages is M. John is older to Alice. <BR>\n" );
document.write( "j - a = m<BR>\n" );
document.write( "j = a + m<BR>\n" );
document.write( "a = j - m<BR>\n" );
document.write( "Replace j in the 1st equation with (a+m)<BR>\n" );
document.write( "x(a+m) = ay<BR>\n" );
document.write( "ax + xm = ay<BR>\n" );
document.write( "ax - ay = -xm<BR>\n" );
document.write( "Factor out a<BR>\n" );
document.write( "a(x-y) = -xm<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28xm%29%2F%28%28x-y%29%29 ALIGN=MIDDLE  ALT=\"-%28xm%29%2F%28%28x-y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is Alice's age<BR>\n" );
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document.write( "Find John's age<BR>\n" );
document.write( "Replace a with (j-m) in the 1st equation<BR>\n" );
document.write( "jx = y(j-m)<BR>\n" );
document.write( "jx = jy - ym<BR>\n" );
document.write( "jx - jy = -ym<BR>\n" );
document.write( "Factor out j<BR>\n" );
document.write( "j(x-y) = -ym<BR>\n" );
document.write( "j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28ym%29%2F%28%28x-y%29%29 ALIGN=MIDDLE  ALT=\"-%28ym%29%2F%28%28x-y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is John's age </SPAN>\n" );
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