document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122372>Question 1122372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sam is ten less than 3 times as old as Alex. If the difference between their ages is 28, How old is Sam and Alex?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738485 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let age of sam be equal to x.<BR>\n" );
document.write( "let age of alex be equal to y.\r<BR>\n" );
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document.write( "age of sam is 10 less than 3 times the age of alex.\r<BR>\n" );
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document.write( "formula for that is x = 3 * y - 10\r<BR>\n" );
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document.write( "the difference between their ages is 28.\r<BR>\n" );
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document.write( "formula for that is x - y = 28\r<BR>\n" );
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document.write( "in this last formula, solve for x to get x = y + 28\r<BR>\n" );
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document.write( "in the first formula, replace x with y + 28 to get y + 28 = 3 * y - 10\r<BR>\n" );
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document.write( "subtract y from both sides of the equation and add 10 to both sides of the equation to get:\r<BR>\n" );
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document.write( "28 + 10 = 3 * y - y\r<BR>\n" );
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document.write( "combine like terms to get 38 = 2 * y\r<BR>\n" );
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document.write( "solve for y to get y = 38 / 2 = 19\r<BR>\n" );
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document.write( "since x = 3 * y - 10, then x must be equal to 47.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "age of sam is 47<BR>\n" );
document.write( "age of alex is 19\r<BR>\n" );
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document.write( "age of sam is 3 * age of alex minus 10.<BR>\n" );
document.write( "that becomes 47 = 3 * 19 - 10 which becomes 47 = 47, confirming this part of the solution is correct.\r<BR>\n" );
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document.write( "the difference between their ages is 28.<BR>\n" );
document.write( "47 - 19 = 28, confirming this part of the solution is correct.\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "sam is 47 and alex is 19.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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