document.write( "Question 544383: Here is the question:
\n" ); document.write( "The units digit of a two-digit number is 2 less than the square of the tens digit. If 36 is added to the number, the result is the number with the digits reversed. Find the original number.
\n" ); document.write( "Thanks! \n" ); document.write( "

Algebra.Com's Answer #355081 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
The units digit of a two-digit number is 2 less than the square of the tens digit. If 36 is added to the number, the result is the number with the digits reversed. Find the original number.
\n" ); document.write( "**
\n" ); document.write( "let u=units digit
\n" ); document.write( "let t=tens digit
\n" ); document.write( "u=t^2-2
\n" ); document.write( "10t+u+36=10u+t
\n" ); document.write( "10t+(t^2-2)+36=10(t^2-2)+t
\n" ); document.write( "10t+t^2-2+36=10t^2-20+t
\n" ); document.write( "10t+t^2+34=10t^2-20+t
\n" ); document.write( "9t^2-9t-54=0
\n" ); document.write( "t^2-t-6=0
\n" ); document.write( "(t-3)(t+2)=0
\n" ); document.write( "t=-2 (reject)
\n" ); document.write( "or
\n" ); document.write( "t=3
\n" ); document.write( "u=t^2-2=9-2=7
\n" ); document.write( "original number: 37
\n" ); document.write( "Check: 37+36=73 \n" ); document.write( "

\n" );