document.write( "Question 76006This question is from textbook Algebra 1
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document.write( ": Frederique is 2 years older than her brother. 12 years ago she was twice as old as he was. How old are they now? \n" );
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Algebra.Com's Answer #54600 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let f = fred's age now. b = brother's age now \n" ); document.write( ": \n" ); document.write( "Write an equation for each sentence: \n" ); document.write( "\"Frederique is 2 years older than her brother.\" \n" ); document.write( "f = (b + 2) \n" ); document.write( "or \n" ); document.write( "b = (f - 2) \n" ); document.write( ": \n" ); document.write( "\" 12 years ago she was twice as old as he was.\" \n" ); document.write( "(f - 12) = 2(b - 12) \n" ); document.write( " f - 12 = 2b - 24 \n" ); document.write( "f = 2b - 24 + 12 \n" ); document.write( "f = 2b - 12 \n" ); document.write( ": \n" ); document.write( "Substitute (f-2) for b: \n" ); document.write( "f = 2(f - 2) - 12 \n" ); document.write( "f = 2f - 4 - 12 \n" ); document.write( "f - 2f = -16 \n" ); document.write( "-f = -16 \n" ); document.write( "f = 16 yrs age now, then b = 16 - 2 = 14 yrs age now \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check 12 years ago \n" ); document.write( "(16-12) = 2(14-12) \n" ); document.write( "4 = 2(2)\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |