document.write( "Question 304834: In one year krity will be four rimes as old as danny. ten years from then krity will be twice as old as danny. how old is krity now?\r
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document.write( "Sat Prep questions.
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Algebra.Com's Answer #218354 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! k = Krity's present age \n" ); document.write( "d = Danny's present age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "In one year krity will be four rimes as old as danny. \n" ); document.write( "k+1 = 4(d+1) \n" ); document.write( "k + 1 = 4d + 4 \n" ); document.write( "k = 4d + 4 - 1 \n" ); document.write( "k = 4d + 3 \n" ); document.write( ": \n" ); document.write( "ten years from then krity will be twice as old as danny. \n" ); document.write( "That will be 11 yrs from their present ages \n" ); document.write( "k + 11 = 2(d + 11) \n" ); document.write( "k + 11 = 2d + 22 \n" ); document.write( "k = 2d + 22 - 11 \n" ); document.write( "k = 2d + 11 \n" ); document.write( ": \n" ); document.write( "Replace k with (4d+3) (from the 1st equation) \n" ); document.write( "4d + 3 = 2d + 11 \n" ); document.write( "4d - 2d = 11 - 3 \n" ); document.write( "2d = 8 \n" ); document.write( "d = \n" ); document.write( "d = 4 yrs \n" ); document.write( ": \n" ); document.write( "Find k using the 1st equation \n" ); document.write( "k = 4(4) + 3 \n" ); document.write( "k = 16 + 3 \n" ); document.write( "k = 19 yrs is Krity's age \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the 1st original equation \n" ); document.write( "k + 1 = 4(d + 1) \n" ); document.write( "19 + 1 = 4(4 + 1) \n" ); document.write( "20 = 4(5)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |