document.write( "Question 759473: A two digit number in base ten is equal to five times the sum of the digits. It is nine less than the number formed by interchanging the digits. Find the number. \n" ); document.write( "
Algebra.Com's Answer #462050 by lwsshak3(11628) ![]() You can put this solution on YOUR website! A two digit number in base ten is equal to five times the sum of the digits. It is nine less than the number formed by interchanging the digits. Find the number. \n" ); document.write( "*** \n" ); document.write( "let u=units digit \n" ); document.write( "let t=tens digit \n" ); document.write( ".. \n" ); document.write( "10t+u=5(t+u) \n" ); document.write( "10t+u=10u+t-9 \n" ); document.write( ".. \n" ); document.write( "10t+u=5t+5u \n" ); document.write( "10t+u=10u+t-9 \n" ); document.write( ".. \n" ); document.write( "5t=4u \n" ); document.write( "t=4u/5 \n" ); document.write( ".. \n" ); document.write( "10(4u/5)+u=10u+4u/5-9 \n" ); document.write( "8u+u=10u+4u/5-9 \n" ); document.write( "u+4u/5=9 \n" ); document.write( "5u+4u=45 \n" ); document.write( "9u=45 \n" ); document.write( "u=5 \n" ); document.write( "t=4u/5=4 \n" ); document.write( "number=45 \n" ); document.write( " |