document.write( "Question 651642: The ones and hundreds digits of a three-digit number are interchanged and the new number is subtracted from the first number. The difference obtained is three-digit number 59x. Find x. How am I going to find x ?? I tried by using xyz-zyk=59x but i would get decimal number. \n" ); document.write( "
Algebra.Com's Answer #407802 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! The ones and hundreds digits of a three-digit number are interchanged and the \n" ); document.write( " new number is subtracted from the first number. \n" ); document.write( " The difference obtained is three-digit number 59x. Find x. \n" ); document.write( ": \n" ); document.write( "The equation should be: \n" ); document.write( "(100x + 10y + z) - (100z + 10y + x) = 590 + x \n" ); document.write( "Remove the brackets and combine like terms \n" ); document.write( "100x - x + 10y - 10y - 100z + z = 590 + x \n" ); document.write( "99x - 99z = 590 + x \n" ); document.write( "we know that the right side also has to be divisible by 99, (99*6=594) \n" ); document.write( "x = 4 \n" ); document.write( " \n" ); document.write( " |