document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=741103>Question 741103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> emma is 10 years older than half Olivias age. If the sum between emmas age and Olivias age is 31 How old is Emma? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451837 by </B><A HREF=/tutors/aboutme.mpl?userid=only4christ2><B>only4christ2(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=only4christ2><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=451837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = Olivia's age........Then Emma's age = .5x + 10\r<BR>\n" );
document.write( "\n" );
document.write( "The sum of their ages is 31: so, X + .5X + 10 = 31\r<BR>\n" );
document.write( "\n" );
document.write( "Next, solve for X.\r<BR>\n" );
document.write( "\n" );
document.write( "x + .5x +10 = 31<BR>\n" );
document.write( "1.5x + 10 = 31<BR>\n" );
document.write( "1.5x = 21<BR>\n" );
document.write( "x = 21 / 1.5<BR>\n" );
document.write( "x = 14..................This is Olivia's age.\r<BR>\n" );
document.write( "\n" );
document.write( "To find Emma's age: we must do the following: .5x + 10 = .5(14) + 10 = 17\r<BR>\n" );
document.write( "\n" );
document.write( "So, Emma is 17 years old. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );