document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=882858>Question 882858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers add to 275. The first is 39 less than the second. What are the numbers? </SPAN>\n" );
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document.write( "***<BR>\n" );
document.write( "Let us call one of the numbers x. Since the \"first is 39 less than the second,\" and we designate x to represent the second number, the first number is x - 39.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Since the two numbers \"add to 275,\" we can write<BR>\n" );
document.write( "(first number) + (second number) = 275<BR>\n" );
document.write( "(x - 39) + x = 275<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Now we can simplify:<BR>\n" );
document.write( "(x - 39) + x = 275<BR>\n" );
document.write( "x - 39 + x = 275<BR>\n" );
document.write( "2x - 39 = 275<BR>\n" );
document.write( "2x = 314<BR>\n" );
document.write( "x = 157<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Therefore, the second number is 157. To solve for the first number, simply plug 157 into the expression for the first number:<BR>\n" );
document.write( "x - 39 = 157 - 39 = 118<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Thus, the numbers are 118 and 157. <BR>\n" );
document.write( "=) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );