document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386965>Question 386965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man refused to tell anyone his age,but he likes to drop hints about it. He then remarks that twice his mother's age add up to 140 and also that his age plus his father's age add up to 105 Furthermore,he says that the sum of his age and his mother's age is 30 more than his father's age.Calculate the man's age or show that his hints contradict one another. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #273594 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=273594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> twice his mother's age add up to 140 and also that his age plus his father's age add up to 105 Furthermore,he says that the sum of his age and his mother's age is 30 more than his father's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = man's age<BR>\n" );
document.write( "Let m = mother's age<BR>\n" );
document.write( "Let f = father's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement<BR>\n" );
document.write( "\"twice his mother's age add up to 140\"<BR>\n" );
document.write( "2m = 140<BR>\n" );
document.write( "m = 70<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"also that his age plus his father's age add up to 105\"<BR>\n" );
document.write( "x + f = 105<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"the sum of his age and his mother's age is 30 more than his father's age\"<BR>\n" );
document.write( "x + m = f + 30<BR>\n" );
document.write( "Replace m with 70<BR>\n" );
document.write( "x + 70 = f + 30<BR>\n" );
document.write( "x - f  = 30 - 70<BR>\n" );
document.write( "x - f = -40<BR>\n" );
document.write( "Add this equation to x + f = 105<BR>\n" );
document.write( "x - f = -40<BR>\n" );
document.write( "x + f = 105<BR>\n" );
document.write( "-------------- adding eliminates f, find x<BR>\n" );
document.write( "2x = 65<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65%2F2 ALIGN=MIDDLE  ALT=\"65%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 32.5 is the man's age, we hope for an integer here, but there it is!<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in all statements<BR>\n" );
document.write( "Find dad's age<BR>\n" );
document.write( "32.5 + f = 105<BR>\n" );
document.write( "f = 105 - 32.5<BR>\n" );
document.write( "f = 72.5, father's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"the sum of his age and his mother's age is 30 more than his father's age\"<BR>\n" );
document.write( "32.5 + 70 = 72.5 + 30<BR>\n" );
document.write( "102.5 = 102.5, confirms our solution \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );