document.write( "Question 594706: the sum of the digits of a two digit number is 8. When the number with the same digits reversed is subtracted from the number,the answer is 18. Find the number \n" ); document.write( "
Algebra.Com's Answer #376869 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
the sum of the digits of a two digit number is 8. When the number with the same digits reversed is subtracted from the number,the answer is 18. Find the number
\n" ); document.write( "**
\n" ); document.write( "let t=ten's digit of original number
\n" ); document.write( "let u=unit digit of original number
\n" ); document.write( "t+u=8
\n" ); document.write( "u=8-t
\n" ); document.write( "..
\n" ); document.write( "10t+u-(10u+t)=18
\n" ); document.write( "10t+8-t-(10(8-t)+t)=18
\n" ); document.write( "10t+8-t-(80-10t+t)=18
\n" ); document.write( "10t+8-t-80+10t-t=18
\n" ); document.write( "18t=90
\n" ); document.write( "t=5
\n" ); document.write( "u=8-t=3
\n" ); document.write( "ans:
\n" ); document.write( "original number=10t+u=50+3=53\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );