document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110492>Question 110492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average of two positive integers is 134. One of the numbers is the square root of the other. Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80522 by </B><A HREF=/tutors/aboutme.mpl?userid=ganesh><B>ganesh(20)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ganesh><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=80522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let the numbers be x and y and y = sqrt{x}.<BR>\n" );
document.write( "Therefore, y - sqrt{x}= 0--------(1)<BR>\n" );
document.write( "Also, {y + x}/2 = 134<BR>\n" );
document.write( "i.e., y + x = 268---------(2)<BR>\n" );
document.write( "Solving (1) and (2), we get x + sqrt{x}= 268<BR>\n" );
document.write( "i.e.,    (x-268)^2 = {-sqrt{x})^2<BR>\n" );
document.write( "so, x^2 -537+ 81796 = 0<BR>\n" );
document.write( "Solving these equation, we get one positive root.<BR>\n" );
document.write( "That is the value of x and using this value find the value of y. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );