document.write( "Question 396868: A number has four digits.The sum of the first and last digits is twice the second digit.The second digit is 2 less than the third digit.The last digit
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document.write( " is twice the first digit.Some of the digits are alike.What is the number?
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Algebra.Com's Answer #281432 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Four digits: w,x,y,z \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\"The sum of the first and last digits is twice the second digit.\" \n" ); document.write( "w + z = 2x \n" ); document.write( ": \n" ); document.write( "\"The second digit is 2 less than the third digit.\" \n" ); document.write( "x = y - 2 \n" ); document.write( "y = x + 2 \n" ); document.write( ": \n" ); document.write( "\"The last digit is twice the first digit.\" \n" ); document.write( "z = 2w \n" ); document.write( "From this we know w < 5 \n" ); document.write( ": \n" ); document.write( "In the 1st equation, replace z with 2w \n" ); document.write( "w + 2w = 2x \n" ); document.write( "3w = 2x \n" ); document.write( "w = \n" ); document.write( "We know w<5 therefore x=3, w=2, or x=6, w=4 \n" ); document.write( "If w=2, x=3, z=4: 2 3 _ 4 \n" ); document.write( "It w=4, x=6, z=8: 4 6 _ 8 \n" ); document.write( ": \n" ); document.write( "Assume that y is the same as one of the other numbers: \n" ); document.write( "If x=3: y = 3 + 2 = 5, not the same as any other numbers \n" ); document.write( "If x=6: y = 6 + 2 = 8, same when z=8 \n" ); document.write( ": \n" ); document.write( "The number should be 4 6 8 8\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |