document.write( "Question 976750: The last digit is the double of the first digit
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document.write( "The second and third digit are same
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document.write( "Third and fourth digit make the number which is twice
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document.write( "the number in the first and second digit and it would be a number plate \n" );
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Algebra.Com's Answer #598591 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Four digits a, b, c, d \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( " The last digit is the double of the first digit. \n" ); document.write( "d = 2a \n" ); document.write( " The second and third digit are same. \n" ); document.write( "b = c \n" ); document.write( " Third and fourth digit make the number which is twice the number in the first and second digit. \n" ); document.write( "10c + d = 2(10a + b) \n" ); document.write( "10c + d = 20a + 2b \n" ); document.write( "Replace b with c, replace d with 2a \n" ); document.write( "10c + 2a = 20a + 2c \n" ); document.write( "10c - 2c = 20a - 2a \n" ); document.write( "8c = 18a \n" ); document.write( "4c = 9a \n" ); document.write( "c = \n" ); document.write( "only one single digit integer solution to this \n" ); document.write( "a = 4, then c = 9 \n" ); document.write( "therefore \n" ); document.write( "b = 9 \n" ); document.write( "and \n" ); document.write( "d = 2(4) = 8 \n" ); document.write( ": \n" ); document.write( "and it would be a number plate: 4998 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We can confirm this in the last statement: 98 = 2(49) \n" ); document.write( " |