document.write( "Question 1022256: karen is twice as old as lori. three years from now, the sum of their ages will be 42. how aold is karen?
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Algebra.Com's Answer #637987 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let k = Karen's present age \n" ); document.write( "let L = Lori's \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( " Karen is twice as old as Lori. \n" ); document.write( "k = 2L \n" ); document.write( " three years from now, the sum of their ages will be 42. \n" ); document.write( "(k+3) + (L+3) = 42 \n" ); document.write( "k + L + 6 = 42 \n" ); document.write( "k + L = 42 - 6 \n" ); document.write( "k + L = 36 \n" ); document.write( "Replace k with 2L from the 1st statement \n" ); document.write( "2L + L = 36 \n" ); document.write( "3L = 36 \n" ); document.write( "L = 36/3 \n" ); document.write( " L = 12 yrs is Lori's age \n" ); document.write( ": \n" ); document.write( " how old is Karen? \n" ); document.write( "k = 2(12) \n" ); document.write( "k = 24 yrs is Karen's age \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check this in the statement \n" ); document.write( "\"three years from now, the sum of their ages will be 42.\" \n" ); document.write( "(24 + 3) + (12 + 3) = \n" ); document.write( "27 + 15 = 42 \n" ); document.write( " |