document.write( "Question 1122338: Sam is 15 years younger than his friend Ben. The total of their ages is 55 years.
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document.write( "a.How old is Sam?
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document.write( "b.How old is Ben? \n" );
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Algebra.Com's Answer #738450 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "What the condition says is THIS:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Sam + Ben = 55, (equation 1) (\"The total of their ages is 55 years.\")\r\n" ); document.write( "Sam = Ben - 15. (equation 2) (\"Sam is 15 years younger than his friend Ben.\")\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In other words (in Math symbols)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "S + B = 55, (1)\r\n" ); document.write( "S = B - 15. (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now substitute the expression (2) into equation (1), replacing S. You will get a single equation for B\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(B-15) + B = 55.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve for B:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2B - 15 = 55 \r\n" ); document.write( "\r\n" ); document.write( "2B = 55 + 15 = 70 ====> B =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check on your own that the problem conditions are satisfied.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |