document.write( "Question 79170: The sum of the digits of a two-digit number is 11. If 27 is added to the number, the digits will be reversed. Find the number. \n" ); document.write( "
Algebra.Com's Answer #56838 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! X+Y=11 \n" ); document.write( "X=11-Y AND: \n" ); document.write( "10X+Y+27=10Y+X SUBSTITUTING (11-Y) FOR X IN THIS EQUATION WE GET \n" ); document.write( "10(11-Y)+Y+27=10Y+(11-Y) \n" ); document.write( "110-10Y+Y+27=10Y+11-Y \n" ); document.write( "-10Y+Y-10Y+Y=-110-27+11 \n" ); document.write( "-18Y=-126 \n" ); document.write( "Y=-126/-18 \n" ); document.write( "Y=7 ANSWER X+7=11 \n" ); document.write( "X=4 ANSWER. \n" ); document.write( "THE ORIGINAL NUMBER IS 47 \n" ); document.write( "47+27=74 THE REVERSE OF THE ORIGINAL NUMBER \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |