document.write( "Question 229903: The sum of the digits of a two-digit number is 9. If the number is doubled, then decreased by 36, the answer is the original number with the digits reversed. Find the number.\r
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document.write( "Thanks for helping!!! \n" );
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Algebra.Com's Answer #170346 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let the two digit = 10x + y \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( "; \n" ); document.write( "\"The sum of the digits of a two-digit number is 9.\" \n" ); document.write( "x + y = 9 \n" ); document.write( "or \n" ); document.write( "y = (9-x); use this for substitution \n" ); document.write( ": \n" ); document.write( "\" If the number is doubled, then decreased by 36, the answer is the original number with the digits reversed.\" \n" ); document.write( "2(10x+y) - 36 = 10y + x \n" ); document.write( ": \n" ); document.write( "20x = 2y - 36 = 10y + x \n" ); document.write( ": \n" ); document.write( "20x - x = 10y - 2y + 36 \n" ); document.write( ": \n" ); document.write( "19x = 8y + 36 \n" ); document.write( ": \n" ); document.write( " Find the number. \n" ); document.write( ": \n" ); document.write( "Replace y with (9-x) in the above equation, find x: \n" ); document.write( "19x = 8(9-x) + 36 \n" ); document.write( "19x = 72 - 8x + 36 \n" ); document.write( "19x + 8x = 72 + 36 \n" ); document.write( "27x = 108 \n" ); document.write( "x = \n" ); document.write( "x = 4: \n" ); document.write( "I'll let you find y, check solution in the given statement \n" ); document.write( " \n" ); document.write( " |