document.write( "Question 692980: \r
\n" );
document.write( "\n" );
document.write( "The sum of the digits of a two digit number is seven. When the digits are reversed, the number is increased by 27. Find the number. \n" );
document.write( "
Algebra.Com's Answer #427205 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! X+Y=7 OR X=7-Y \n" ); document.write( "10X+Y=10Y+X-27 REPLACE X WITH (7-Y) * SOLVE FOR Y. \n" ); document.write( "10(7-Y)+Y=10Y+(7-Y)-27 \n" ); document.write( "70-10Y+Y=10Y+7-Y-27 \n" ); document.write( "-10Y-10Y+Y+Y=7-27-70 \n" ); document.write( "-18Y=-90 \n" ); document.write( "Y=-90/-18 \n" ); document.write( "Y=5 ANS FOR THE 10'S DIGIT OF THE ORIGINAL NUMBER. \n" ); document.write( "X+5=7 \n" ); document.write( "X=7-5=2 ANS. FOR THE UNITS DIGIT IN THE ORIGINAL NUMBER. \n" ); document.write( "PROOF: \n" ); document.write( "52-25=27 \n" ); document.write( "27=27 \n" ); document.write( " |