document.write( "Question 317888: you are given a two -digit positive integer. if you reverse the digits of your number . the result is a number which is 20% larger than your number . what is your number ? \n" ); document.write( "
| Algebra.Com's Answer #227689 by ankor@dixie-net.com(22740)     You can put this solution on YOUR website! you are given a two -digit positive integer. \n" ); document.write( "10x + y = \"a two digit number \n" ); document.write( ": \n" ); document.write( "if you reverse the digits of your number, the result is a number 20% larger than your number. \n" ); document.write( "10y + x = 1.2(10x+y) \n" ); document.write( ": \n" ); document.write( "10y + x = 12x + 1.2y \n" ); document.write( ": \n" ); document.write( "10y - 1.2y = 12x - x \n" ); document.write( ": \n" ); document.write( "8.8y = 11x \n" ); document.write( ": \n" ); document.write( "Simplify, divide both sides by 11 \n" ); document.write( ".8y = x \n" ); document.write( ": \n" ); document.write( "y = \n" ); document.write( "y = 1.25x \n" ); document.write( "the only single digit integer that satisfies this \n" ); document.write( "x = 4, y = 5 \n" ); document.write( ": \n" ); document.write( "45 is the two digit number \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check 1.2(45) = 54\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |