document.write( "Question 551147: The sum of the digits of a certain two digit number is eight. If the original number is subtracted from the number formed by interchanging the digits, the result is -18. What is the original number? Please help!!! \n" ); document.write( "
Algebra.Com's Answer #359445 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The sum of the digits of a certain two digit number is eight. If the original number is subtracted from the number formed by interchanging the digits, the result is -18. What is the original number? \n" ); document.write( "** \n" ); document.write( "let t=ten's digit \n" ); document.write( "let u=unit's digit \n" ); document.write( "t+u=8, t=8-u \n" ); document.write( "original no.=10t+u \n" ); document.write( "interchanged no.=10u+t \n" ); document.write( ".. \n" ); document.write( "10u+t-(10t+u)=-18 \n" ); document.write( "10u+t-10t-u=-18 \n" ); document.write( "10u+8-u-10(8-u)-u=-18 \n" ); document.write( "10u+8-u-80+10u-u=-18 \n" ); document.write( "18u=54 \n" ); document.write( "u=3 \n" ); document.write( "t=8-u=5 \n" ); document.write( "original number=53 \n" ); document.write( " |