document.write( "Question 1145713: The sum of Sam and Mary's age is 60. Twelve years ago, Sam was three times as old as Mary.\r
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document.write( "1. Write a system of equations to represent this situation.\r
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document.write( "2. Find Mary's age now \n" );
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Algebra.Com's Answer #766968 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of Sam and Mary's age is 60. \n" ); document.write( "s + m = 60 \n" ); document.write( "m = (60-s) \n" ); document.write( " Twelve years ago, Sam was three times as old as Mary. \n" ); document.write( "s - 12 = 3(m-12) \n" ); document.write( "s - 12 = 3m - 36 \n" ); document.write( "s = 3m - 36 + 12 \n" ); document.write( "s = 3m - 24 \n" ); document.write( ": \n" ); document.write( "1. Write a system of equations to represent this situation. \n" ); document.write( "in the above equation, replace m with 60-s \n" ); document.write( "s = 3(60-s) - 24 \n" ); document.write( "s = 180 - 3s - 24 \n" ); document.write( "s + 3s = 180 - 24 \n" ); document.write( "4s = 156 \n" ); document.write( "s = 156/4 \n" ); document.write( "s = 39 yrs is sam's age \n" ); document.write( ": \n" ); document.write( "2. Find Mary's age now \n" ); document.write( "60 - 39 = 21 yrs is Mary's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out \n" ); document.write( "39 - 12 = 3(21-12) \n" ); document.write( "27 = 3(9) \n" ); document.write( " |