document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945313>Question 945313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Danny is 9 years older than Harold. Together, their ages add up to 23. How old is Danny?<BR>\n" );
document.write( "2. A triangle has two of its angles the same size. The other angle is 63° larger. What is the size of the largest angle?<BR>\n" );
document.write( "3. A triangle has two of its angles the same size. The other angle is 72° larger. What is the size of one of the smaller angles?<BR>\n" );
document.write( "4. Michael earns 3 times more than Becky in a week. In total, they earn $240 between them. How much did Michael earn? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576639 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. AGES<BR>\n" );
document.write( "D=Danny's age; H=Harold's age=D-9<BR>\n" );
document.write( "D+H=23 Substitute for H<BR>\n" );
document.write( "D+(D-9)=23  Add 9 to each side<BR>\n" );
document.write( "2D=32 Divide each side by 2<BR>\n" );
document.write( "D=16 ANSWER 1: Danny is 16 years old<BR>\n" );
document.write( "D+H=23<BR>\n" );
document.write( "16+H=23 Subtract 16 from each side<BR>\n" );
document.write( "H=7 ANSWER 2: Harold is 7 years old<BR>\n" );
document.write( "CHECK Danny is 9 years older (7+9=16) and sum is 23(16+7=23)<BR>\n" );
document.write( "2. ANGLES(1) Let A=angles 1 and 2 and A+63 the third<BR>\n" );
document.write( "Sum of angles in triangle=180 degrees:<BR>\n" );
document.write( "A+A+A+63=180 degrees subtract 63 from each side<BR>\n" );
document.write( "3A=117 degrees divide each side by 3<BR>\n" );
document.write( "A=39  The smaller angles each measure 39 degrees<BR>\n" );
document.write( "Larger angle=39+63=102 degrees ANSWER: The larger angle measures 102 degrees<BR>\n" );
document.write( "3. ANGLES (2) Let A= angles 1 and 2 and A+72 degrees=the larger<BR>\n" );
document.write( "Sum of angles in triangle=180 degrees<BR>\n" );
document.write( "A+A+A+72=180 degrees Subtract 72 from each side<BR>\n" );
document.write( "3A=108 degrees<BR>\n" );
document.write( "A=36 degrees ANSWER The smaller angles each measure 36 degrees<BR>\n" );
document.write( "4. EARNINGS Let B=Becky's earnings, M=Michael's earnings=3B<BR>\n" );
document.write( "M+B=$240 Substitute for M<BR>\n" );
document.write( "3B+B=240<BR>\n" );
document.write( "4B=240<BR>\n" );
document.write( "B=60  Becky earns $60 a week.<BR>\n" );
document.write( "M=3B=3($60)=$180 ANSWER Michael earns $180 a week.<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "M+B=$240<BR>\n" );
document.write( "$180+$60=$240<BR>\n" );
document.write( "$240=$240\r<BR>\n" );
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document.write( " </SPAN>\n" );
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