document.write( "Question 831096: the ratio of the tens digit to the ones digit of a two digit number is 2:3.if 27 added to the number the digit interchange their places.find the numbers?sir pls help me .kindly give me its steps also? \n" ); document.write( "

Algebra.Com's Answer #501144 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = the tens digit
\n" ); document.write( "Let $\"+u+\"$ = the units digit
\n" ); document.write( "------------------------
\n" ); document.write( "(1) $\"+t%2Fu+=+2%2F3+\"$
\n" ); document.write( "(2) $\"+10t+%2B+u+%2B+27+=+10u+%2B+t+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+10t+-+t+%2B+27+=+10u+-+u+\"$
\n" ); document.write( "(2) $\"+9u+-+9t+=+27+\"$
\n" ); document.write( "(2) $\"+u+-+t+=+3+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(1) $\"+t+=+%282%2F3%29%2Au+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+u+-+%282%2F3%29%2Au+=+3+\"$
\n" ); document.write( "(2) $\"+%281%2F3%29%2Au+=+3+\"$
\n" ); document.write( "(2) $\"+u+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+u+-+t+=+3+\"$
\n" ); document.write( "(2) $\"+t+=+u+-+3+\"$
\n" ); document.write( "(2) $\"+t+=+9+-+3+\"$
\n" ); document.write( "(2) $\"+t+=+6+\"$
\n" ); document.write( "The original number is 69
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+10t+%2B+u+%2B+27+=+10u+%2B+t+\"$
\n" ); document.write( "(2) $\"+10%2A6+%2B+9+%2B+27+=+10%2A9+%2B+6+\"$
\n" ); document.write( "(2) $\"+69+%2B+27+=+90+%2B+6+\"$
\n" ); document.write( "(2) $\"+96+=+96+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );