document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=671621>Question 671621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers whose sum is 114 and difference is 58? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #417496 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=417496\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be a and b then you have<BR>\n" );
document.write( "(1) a + b = 118 and<BR>\n" );
document.write( "(2) a - b = 58<BR>\n" );
document.write( "Add (1) and (2) and get<BR>\n" );
document.write( "(3) 2a = 172 or <BR>\n" );
document.write( "(4) a = 86<BR>\n" );
document.write( "Then from (1) we have<BR>\n" );
document.write( "(5) 86 + b = 118 or<BR>\n" );
document.write( "(6) b = 28<BR>\n" );
document.write( "Check this with (2)<BR>\n" );
document.write( "Is (86 - 28 = 58)?<BR>\n" );
document.write( "Is (58 = 58)? Yes<BR>\n" );
document.write( "Answer: the two numbers are 58 and 86. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );