document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415680>Question 415680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 75. The larger number is 3 less than four times the smaller number. Find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291366 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=291366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-y=75 (1)<BR>\n" );
document.write( "Larger number (x) is (=) 3 less (-) than 4 times (x) smaller number (y)<BR>\n" );
document.write( "Or in equation form: x=4y-3 (2)<BR>\n" );
document.write( "Substitute the value of x into (1) -> (4y-3)-y=75 -> 3y-3=75<BR>\n" );
document.write( "Solving for y gives y=78/3, or y=26<BR>\n" );
document.write( "Insert the value for y in (1) -> x-26=75 -> x=101<BR>\n" );
document.write( "Ans: x=101,y=26<BR>\n" );
document.write( "Check: 101=4*26-3 -> 101=104-3=101\r<BR>\n" );
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