document.write( "Question 758328: A number consists of two digits. The digit in the unit's place is less than the digit in the ten's place by 2. If the number is subtracted from 11times the sum of the digits then the digits are reversed. Find the number. \n" ); document.write( "
Algebra.Com's Answer #461422 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A number consists of two digits. \n" ); document.write( "10a + b \n" ); document.write( ": \n" ); document.write( "The digit in the unit's place is less than the digit in the ten's \n" ); document.write( " place by 2. \n" ); document.write( "b = a-2 \n" ); document.write( ": \n" ); document.write( "If the number is subtracted from 11 times the sum of the digits, then \n" ); document.write( " the digits are reversed. \n" ); document.write( "11(a+b) - (10a+b) = 10b + a \n" ); document.write( "11a + 11b - 10a - b = 10b + a \n" ); document.write( "combine the like terms on the left \n" ); document.write( "11a - 10a - a + 11b - b - 10b = 0 \n" ); document.write( "and you get 0! So that's not very helpful, just choose a number \n" ); document.write( "97 is good one \n" ); document.write( "11(9+7) - 97 = 79 \n" ); document.write( "or how about 64 \n" ); document.write( "11(6+4) - 64 = 46 \n" ); document.write( "or 75 \n" ); document.write( "11(7+5) - 75 = 57 \n" ); document.write( "Take your pick\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |