document.write( "Question 511387: a number consists of two digits the digits in the ten's place is 3 times the digit in the unit place if 54 is subtracted from the number the digits are reversed . The number is \n" ); document.write( "
Algebra.Com's Answer #342261 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a number consists of two digits the digits in the ten's place is 3 times the digit in the unit place if 54 is subtracted from the number the digits are reversed. \n" ); document.write( " The number is \n" ); document.write( ": \n" ); document.write( "Let the two digit number = 10x + y \n" ); document.write( ": \n" ); document.write( "\"the ten's place is 3 times the digit in the unit place\" \n" ); document.write( "x = 3y \n" ); document.write( ": \n" ); document.write( "\"if 54 is subtracted from the number the digits are reversed.\" \n" ); document.write( "10x + y - 54 = 10y + x \n" ); document.write( "10x - x = 10y - y + 54 \n" ); document.write( "9x = 9y + 54 \n" ); document.write( "simplify, divide by 9 \n" ); document.write( "x = y + 6 \n" ); document.write( "Replace x with 3y \n" ); document.write( "3y = y + 6 \n" ); document.write( "3y - y = 6 \n" ); document.write( "2y = 6 \n" ); document.write( "y = 3 \n" ); document.write( "then \n" ); document.write( "x = 3(3) \n" ); document.write( "x = 9 \n" ); document.write( ": \n" ); document.write( "93 is the number \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"if 54 is subtracted from the number the digits are reversed.\" \n" ); document.write( "93 - 54 = 39 \n" ); document.write( " |