document.write( "Question 186369: Fred is 12 years older than his brother.
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document.write( " In 2 years Fred will be twice as old as his brother will be.
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document.write( " How old is each of them now? \n" );
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Algebra.Com's Answer #139727 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let f = Fred's age now \n" ); document.write( "Let b = brother's age now \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"Fred is 12 years older than his brother.\" \n" ); document.write( "f = b + 12 \n" ); document.write( ": \n" ); document.write( "\"In 2 years Fred will be twice as old as his brother will be.\" \n" ); document.write( "f + 2 = 2(b+2) \n" ); document.write( "f + 2 = 2b + 4 \n" ); document.write( "f = 2b + 4 - 2 \n" ); document.write( "f = 2b + 2\r \n" ); document.write( "\n" ); document.write( " How old is each of them now? \n" ); document.write( ": \n" ); document.write( "Substitute (b+12) for f in the above equation: \n" ); document.write( "b+12 = 2b + 2 \n" ); document.write( "b -2b = 2 - 12 \n" ); document.write( "-b = -10 \n" ); document.write( "b = 10 yrs is brothers age \n" ); document.write( "then \n" ); document.write( "12 + 10 = 22 yrs is Fred's age \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in statement: \n" ); document.write( "\"In 2 years Fred will be twice as old as his brother will be. \n" ); document.write( "22 + 2 = 2(10 +2) \n" ); document.write( " \n" ); document.write( " |