document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=532047>Question 532047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) Two numbers are in the ratio of 3:5. If 8 is subtracted from their sum, the result is 40. What is the larger number?\r<BR>\n" );
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document.write( "2)The ratio of two complementary angles is 2:7. What are the measures of the two angles?\r<BR>\n" );
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document.write( "3) Two angles are supplementary. The larger angles is 3 less than twice the smaller angle. Find the measure of the larger angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350817 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=350817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Two numbers are in the ratio of 3:5. If 8 is subtracted from their sum, the result is 40.<BR>\n" );
document.write( " What is the larger number?<BR>\n" );
document.write( "Let x = the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3x = the smaller number<BR>\n" );
document.write( "5x = the larger<BR>\n" );
document.write( "\"If 8 is subtracted from their sum, the result is 40.\"<BR>\n" );
document.write( "5x + 3x - 8 = 40<BR>\n" );
document.write( "8x = 40 + 8<BR>\n" );
document.write( "8x = 48<BR>\n" );
document.write( "x = 48/8<BR>\n" );
document.write( "x = 6 is the multiplier<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "6(5) = 30 is the larger number<BR>\n" );
document.write( "and<BR>\n" );
document.write( "6(3) = 18 is the smaller, check this in the given statement<BR>\n" );
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document.write( "2)The ratio of two complementary angles is 2:7. What are the measures of the two angles?<BR>\n" );
document.write( "let x = the multiplier<BR>\n" );
document.write( "2x + 7x = 90<BR>\n" );
document.write( "9x = 90<BR>\n" );
document.write( "x = 10 is the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "20 and 70 are the two angles<BR>\n" );
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document.write( "3) Two angles are supplementary. The larger angles is 3 less than twice the smaller angle. Find the measure of the larger angle.<BR>\n" );
document.write( "let a = the larger angle<BR>\n" );
document.write( "let b = the smaller<BR>\n" );
document.write( "a = 2b-3<BR>\n" );
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document.write( "a + b = 180<BR>\n" );
document.write( "2b-3 + b = 180<BR>\n" );
document.write( "3b - 3 = 180<BR>\n" );
document.write( "3b = 180 + 3<BR>\n" );
document.write( "3b = 138<BR>\n" );
document.write( "b = 183/3<BR>\n" );
document.write( "b = 61<BR>\n" );
document.write( "Find a<BR>\n" );
document.write( "a = 2(61) - 3<BR>\n" );
document.write( "a = 122 - 3<BR>\n" );
document.write( "a = 119 degrees is the larger angle<BR>\n" );
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document.write( "Check this 119 + 61 = 180<BR>\n" );
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