document.write( "Question 32103: 1. A number consists of two digits whose sum is 10 . If 72 be subtracted from the number , the digits are reversed . find the number ? 2. Two kg of sugar and 1/2 kg of tea cost Rs.32 and 3 kg of sugar and 1 kg of tea cost Rs.59. Find the cost of 1 kg of tea 1kg of sugar ? \n" ); document.write( "
Algebra.Com's Answer #18637 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 1) X+Y=10 & 10X+Y=10Y+X-72 OR 9X-9Y=-72 MULTIPLYING THE FIRST EQUATION BY -9\r \n" ); document.write( "\n" ); document.write( "WE GET \n" ); document.write( "-9X-9Y=-90 ADDING THIS TO \n" ); document.write( "9X-9Y=-72 WE GET \n" ); document.write( "---------- \n" ); document.write( "-18Y=-162 OR 18Y=162 OR Y=162/18 OR Y=9 THEREFORE X=10-9 OR X=1\r \n" ); document.write( "\n" ); document.write( "THEREFORE THE ORIGINAL NUMBER IS 91 AND WHEN 72 IS SUBTRACTED WE GET 91-72=19 \r \n" ); document.write( "\n" ); document.write( "2) 2S+.5T=.32 & 3S+T=.59 MULTIPLYING THE FIRST EQUATION BY -2 AND ADDING IT TO THE SECOND EQUATION WE GET\r \n" ); document.write( "\n" ); document.write( "-4S-T=-.64 \n" ); document.write( "3S+T=.59 \n" ); document.write( "--------- \n" ); document.write( "-S=-.05 OR S=.05 THEN 2(.05)+.5T=.32 OR .10+.5T=.32 OR .5T=.32-.10 OR .5T=.22 \n" ); document.write( "OR T=.22/.5 OR T=44\r \n" ); document.write( "\n" ); document.write( "PROOF 3(.05)+.44=.59 OR .15+.44=.59 OR .59=.59 AND\r \n" ); document.write( "\n" ); document.write( "2(.05)+.5(.44)=.32 OR .10+.22=.32 OR .32=.32 \n" ); document.write( " \n" ); document.write( " |