document.write( "Question 816678: Please Help..
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document.write( "Five years ago, Roel was three times as old as his brother, Tony. In 10 years, he will be 10 years older than Tony. Find their present ages. \n" );
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Algebra.Com's Answer #491660 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! Five years ago, Roel was three times as old as his brother, Tony. In 10 years, he will be 10 years older than Tony. Find their present ages.\r \n" ); document.write( "\n" ); document.write( " Set r = age of Roel \n" ); document.write( " Set t = age of Tony\r \n" ); document.write( "\n" ); document.write( " ( r - 5 ) = 3(t-5) \n" ); document.write( " ( r + 10 ) = ( t + 10 ) + 10\r \n" ); document.write( "\n" ); document.write( "Simplifying \n" ); document.write( " r - 5 = 3t - 15 \n" ); document.write( " r + 10 = t + 20\r \n" ); document.write( "\n" ); document.write( "Subtract the bottom equation from the top \n" ); document.write( " -15 = 2t - 35 \n" ); document.write( "Add 35 to each side. \n" ); document.write( " 20 = 2t \n" ); document.write( " 10 = t \n" ); document.write( "Substitute 10 for t in the equation r + 10 = t + 20 \n" ); document.write( " r + 10 = 10 + 20 \n" ); document.write( "Subtract 10 from each side \n" ); document.write( " r = 20 \n" ); document.write( "To check our answer, substitute 10 for t and 20 for r in the equations \n" ); document.write( " ( r - 5 ) = 3(t-5) \n" ); document.write( " ( r + 10 ) = ( t + 10 ) + 10\r \n" ); document.write( "\n" ); document.write( " ( 20 - 5 ) = 3(10-5) so 15 = 3(5) or 15 = 15 \n" ); document.write( " ( 20 + 10 ) = ( 10 + 10 ) + 10 so 30 = 30\r \n" ); document.write( "\n" ); document.write( "We can say that Roel is 20 and Tony is 10. \n" ); document.write( " |