document.write( "Question 546884: if 27 ia added to a two digit number the result is a number with the same digit, but in reverse order. the sum of the digits is 11 \n" ); document.write( "
Algebra.Com's Answer #356118 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the number be xy \n" ); document.write( "x in the tens place and y in units place\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 x + 1 y = 13 .............1 \n" ); document.write( "-9 x + 9 y = 27 .............2 \n" ); document.write( "9 y \n" ); document.write( "multiply (1)by 9 \n" ); document.write( "Multiply (2) by -1 \n" ); document.write( "9 x 9 y = 117 \n" ); document.write( "9 x + -9 y = -27 \n" ); document.write( "Add the two equations \n" ); document.write( "18 x = 90.000 \n" ); document.write( "/ 18 \n" ); document.write( "x = 5 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 13 \n" ); document.write( "5 + 1 y = 13 \n" ); document.write( " 1 y = 13-5 \n" ); document.write( " 1 y = 8 \n" ); document.write( " y = 8 \n" ); document.write( " \n" ); document.write( " |