document.write( "Question 219958: Miriam is four years older than Ricardo. Ten years ago, Miriam was 3 times as old as Ricardo was then. How old are they now? Set up an equation and solve.\r
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document.write( "Please help! :) \n" );
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Algebra.Com's Answer #165277 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let m = Mariam's present age \n" ); document.write( "Let r = Ricardo's present age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"Miriam is four years older than Ricardo.\" \n" ); document.write( "m = r + 4 \n" ); document.write( ": \n" ); document.write( "\" Ten years ago, Miriam was 3 times as old as Ricardo was then. \" \n" ); document.write( "m - 10 = 3(r - 10) \n" ); document.write( "m - 10 = 3r - 30 \n" ); document.write( "m = 3r - 30 + 10 \n" ); document.write( "m = 3r - 20 \n" ); document.write( ": \n" ); document.write( "Substitute (r+4) for m in the above equation \n" ); document.write( "r + 4 = 3r - 20 \n" ); document.write( "4 + 20 = 3r - r \n" ); document.write( "24 = 2r \n" ); document.write( "r = \n" ); document.write( "r = 12 yr is R's present age \n" ); document.write( "then \n" ); document.write( "m = 12 + 4 \n" ); document.write( "m = 16 is M's present age \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\" Ten years ago, Miriam was 3 times as old as Ricardo was then.\" \n" ); document.write( "16 - 10 = 3(12 - 10)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |