document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830623>Question 830623</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A number is 1/4 of another number.  If their difference is 57, find the two numbers.  Show work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500731 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the first number, and y the second number.<BR>\n" );
document.write( "The problem tells you the following:<BR>\n" );
document.write( "y - x = 57<BR>\n" );
document.write( "y = 4x (you could also work it as 1/4y = x)<BR>\n" );
document.write( "Substitute the value for y<BR>\n" );
document.write( "4x - x = 57<BR>\n" );
document.write( "Subtract<BR>\n" );
document.write( "3x = 57<BR>\n" );
document.write( "Divide by 3<BR>\n" );
document.write( "x = 19<BR>\n" );
document.write( "Since you know x and know that y is 4 times x, you can find y by multiplying x*4 (19*4=76)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Prove by putting the values into the original problem.<BR>\n" );
document.write( "\"A number (19) is 1/4 of another number (76). If their difference is 57, find the two numbers.\"<BR>\n" );
document.write( "76 - 19 does indeed equal 57. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );