document.write( "Question 1142439: am five-digit number greater than 40,000 but less than 70,000. My ones digit is more than my ten thousands digit. All my other digits are the same. The sum of my digits is 19. What number am I? \n" ); document.write( "
Algebra.Com's Answer #763137 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! The number is \n" ); document.write( "N x x x M \n" ); document.write( "M > N \n" ); document.write( "M is either 4, 5, or 6 \n" ); document.write( "N + M + 3x = 19 \n" ); document.write( "x cannot be 9 \n" ); document.write( "x cannot be 8 \n" ); document.write( "x cannot be 7 \n" ); document.write( "x cannot be 6 \n" ); document.write( "------------------------ \n" ); document.write( "Suppose x is 5 \n" ); document.write( "N + M + 3*5 = 19 \n" ); document.write( "N + M = 4 \n" ); document.write( "M must be 4 and N must be 0 \n" ); document.write( "The number is \n" ); document.write( "05554 -cannot be \n" ); document.write( "-------------------------------- \n" ); document.write( "Suppose x is 4 \n" ); document.write( "N + M + 3*4 = 19 \n" ); document.write( "N + M = 7 \n" ); document.write( "If M is 6, then N is 1 \n" ); document.write( "number is: \n" ); document.write( "14446 -out of range \n" ); document.write( "If M is 4, the N is 3 -also out of range \n" ); document.write( "----------------------------------------- \n" ); document.write( "Suppose x is 3 \n" ); document.write( "N + M + 3*3 = 19 \n" ); document.write( "N + M = 10 \n" ); document.write( "If M is 6, then N is 4 \n" ); document.write( "number is: \n" ); document.write( "43336 \n" ); document.write( "the number is in range \n" ); document.write( "----------------------------- \n" ); document.write( "If x is 2, then \n" ); document.write( " M + N + 6 = 19 \n" ); document.write( "M + N = 13 \n" ); document.write( "52228 works \n" ); document.write( "62227 works \n" ); document.write( "--------------------- \n" ); document.write( "If x is 1 \n" ); document.write( "M + N + 3*1 = 19 \n" ); document.write( "M + N = 16 \n" ); document.write( "this makes number out of range \n" ); document.write( "( N is 10 or greater ) \n" ); document.write( "--------------------------------------- \n" ); document.write( "The possible numbers are: \n" ); document.write( "43336 \n" ); document.write( "52228 \n" ); document.write( "62227 \n" ); document.write( "----------- \n" ); document.write( "get a 2nd opinion if needed\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |