document.write( "Question 1102851: mara is eight years older than clara. three years age, mara's age is thrice as clara. what is the present age of mara?
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Algebra.Com's Answer #717565 by Theo(13342)![]() ![]() You can put this solution on YOUR website! mara is eight years older than clara. three years age, mara's age is thrice (three times) clara's age. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "what is the present age of mara?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let m = mara's age today. \n" ); document.write( "let c = clara's age today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equations are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = c+8 \n" ); document.write( "m-3 = 3*(c-3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the second equation, replace m with c+8 to get c+8-3 = 3*(c-3) \n" ); document.write( "simplify to get c+5 = 3c-9 \n" ); document.write( "subtract c from both sides of this equation and add 9 to both sides of this equation to get 14 = 2c \n" ); document.write( "solve for c to get c =7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when c = 7, m = c+8 = 15 \n" ); document.write( "3 years ago m-3 = 12 and c-3 = 4 \n" ); document.write( "12 = 3*4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is confirmed to be good because m = c+8 and m-3 = 3*(c-3)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |