document.write( "Question 252537: The ages of Sean and Bryan now total 49 years. Bryan’s age now is twice the age
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document.write( "that Sean’s was when Bryan’s age was the same as Sean’s is now. How many
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document.write( "years old is Bryan? \n" );
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Algebra.Com's Answer #184524 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The ages of Sean and Bryan now total 49 years. \n" ); document.write( " Bryan’s age now is twice the age that Sean’s was when Bryan’s age was the same as Sean’s is now. \n" ); document.write( "How many years old is Bryan? \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"The ages of Sean and Bryan now total 49 years.\" \n" ); document.write( "s + b = 49 \n" ); document.write( "s = (49-b) \n" ); document.write( ": \n" ); document.write( "\"Bryan’s age now is twice the age that Sean’s was when Bryan’s age was the same as Sean’s is now.\" \n" ); document.write( "b = 2(s - (b - s)) \n" ); document.write( "b = 2(s + s - b) \n" ); document.write( "b = 2(2s - b) \n" ); document.write( "b = 4s - 2b \n" ); document.write( "b + 2b = 4s \n" ); document.write( "3b = 4s \n" ); document.write( "Substitute (49-b) for s \n" ); document.write( "3b = 4(49-b) \n" ); document.write( "3b = 196 - 4b \n" ); document.write( "3b + 4b = 196 \n" ); document.write( "7b = 196 \n" ); document.write( "b = \n" ); document.write( "b = 28 yrs is Bryan's age \n" ); document.write( "then \n" ); document.write( "49 - 28 = 21 yrs is Sean's age \n" ); document.write( ": \n" ); document.write( "Let see if that works in the statement: \n" ); document.write( "There is a 7 yr difference in their ages \n" ); document.write( "\"Bryan’s age now is twice the age that Sean’s was when Bryan’s age was the same as Sean’s is now.\" \n" ); document.write( "28 = 2(21 - 7) \n" ); document.write( "28 = 2(14) \n" ); document.write( " |