document.write( "Question 1137225: Hi
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document.write( "the tens digit of a two digit number is 2 less than the units digit. The difference between the squares of the digits is 32. What is the number.\r
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document.write( "thanks
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Algebra.Com's Answer #755074 by mananth(16946) You can put this solution on YOUR website! the tens digit of a two digit number is 2 less than the units digit. The difference between the squares of the digits is 32. What is the number.\r \n" ); document.write( "\n" ); document.write( "Let x be in the ten's place and y be in the units place\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=y-2 \n" ); document.write( "x-y =-2\r \n" ); document.write( "\n" ); document.write( "Second condition\r \n" ); document.write( "\n" ); document.write( "x^2-y^2 =32 \n" ); document.write( "(x+y)(x-y) =32 \n" ); document.write( "plug in (x-y) \n" ); document.write( "(x+y)(-2) = 32\r \n" ); document.write( "\n" ); document.write( "(x+y) = (32/-2)=-16\r \n" ); document.write( "\n" ); document.write( "solve the two equations \n" ); document.write( "x-y=-02 \n" ); document.write( "x+y=-16 \n" ); document.write( "Add the equations \n" ); document.write( "2x=-18 \n" ); document.write( "x=-9 \n" ); document.write( "therefore y =-7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number is -97 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |