document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122773>Question 122773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How old are they?\r<BR>\n" );
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document.write( "If Christine's and Martine's ages are added, the total is 51 years. If Christine were 6 years older and Martine were 3 years younger, the two women would be the same age.<BR>\n" );
document.write( "a)represent this situation by system of equations.<BR>\n" );
document.write( "b)how old are the two women? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90135 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=90135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each statement<BR>\n" );
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document.write( "Let c = C's age now<BR>\n" );
document.write( "Let m = M's age now<BR>\n" );
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document.write( "\"If Christine's and Martine's ages are added, the total is 51 years.\"<BR>\n" );
document.write( "c + m = 51<BR>\n" );
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document.write( "c = (51-m); use for substitution<BR>\n" );
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document.write( "\"If Christine were 6 years older and Martine were 3 years younger, the two women would be the same age.\"<BR>\n" );
document.write( "c + 6 = m - 3<BR>\n" );
document.write( "c = m - 3 - 6<BR>\n" );
document.write( "c = m - 9<BR>\n" );
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document.write( "a)represent this situation by system of equations.<BR>\n" );
document.write( "we did<BR>\n" );
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document.write( "b)how old are the two women?<BR>\n" );
document.write( "Substitute (51-m) for c in the equation: c = m - 9<BR>\n" );
document.write( "51 - m = m - 9<BR>\n" );
document.write( "51 + 9 = m + m<BR>\n" );
document.write( "2m = 60<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F2 ALIGN=MIDDLE  ALT=\"60%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = 30 yrs old<BR>\n" );
document.write( "then<BR>\n" );
document.write( "51 - 30 = 21 yrs is c's age<BR>\n" );
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document.write( "Christine is 21 and Martini is 30<BR>\n" );
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document.write( "Check solution in the statement:<BR>\n" );
document.write( "I If Christine were 6 years older and Martine were 3 years younger, the two women would be the same age.<BR>\n" );
document.write( " 21 + 6 = 30 - 3<BR>\n" );
document.write( "  27 = 27\r<BR>\n" );
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document.write( " </SPAN>\n" );
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