document.write( "Question 632813: The sum of the digits of a two digit number is 7. If the digits are reversed, the number is decreased by 27. What is the original number? \n" ); document.write( "
Algebra.Com's Answer #398493 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
The sum of the digits of a two digit number is 7. If the digits are reversed, the number is decreased by 27. What is the original number?
\n" ); document.write( "**
\n" ); document.write( "let u=units digit
\n" ); document.write( "let t=tens digit
\n" ); document.write( "original number: 10t+u
\n" ); document.write( "reversed number:10u+t
\n" ); document.write( "t+u=7
\n" ); document.write( "t=7-u
\n" ); document.write( "..
\n" ); document.write( "10t+u=10u+t-27
\n" ); document.write( "10(7-u)+u=10u+7-u-27
\n" ); document.write( "70-10u+u=10u+7-u-27
\n" ); document.write( "18u=90
\n" ); document.write( "u=5
\n" ); document.write( "t=7-u=2
\n" ); document.write( "original number=10t+u=25
\n" ); document.write( "
\n" ); document.write( "
\n" );