document.write( "Question 1040280: I m a 4 digit no. My ones digit is three, My thousands digit is twice the value of one digit, my haundreds digit is two less than the thousands digit, sum of my digit is 25 \n" ); document.write( "
Algebra.Com's Answer #655069 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! I'm a 4 digit no. \r\n" ); document.write( "Let's put 4 spaces for the digits.\r\n" ); document.write( "_ _ _ _ \n" ); document.write( "My ones digit is three, \r\n" ); document.write( "So we put a 3 last:\r\n" ); document.write( "\r\n" ); document.write( "_ _ _ 3\r\n" ); document.write( " \n" ); document.write( "my hundreds digit is two less than the thousands digit, \r\n" ); document.write( "So the first two digits are either 9&7, 8&6, 7&5, 6&4, 5&3, 4&2,\r\n" ); document.write( "3&1 or 2&0\r\n" ); document.write( "\r\n" ); document.write( "So the number is either\r\n" ); document.write( "\r\n" ); document.write( "9 7 _ 3\r\n" ); document.write( "8 6 _ 3\r\n" ); document.write( "7 5 _ 3\r\n" ); document.write( "6 4 _ 3\r\n" ); document.write( "5 3 _ 3\r\n" ); document.write( "4 2 _ 3\r\n" ); document.write( "3 1 _ 3\r\n" ); document.write( "2 0 _ 3\r\n" ); document.write( "sum of my digit is 25 We go through them:\r\n" ); document.write( "\r\n" ); document.write( "9 7 _ 3, since 9+7+3=19, missing digit would have to be 25-19=6 \r\n" ); document.write( "8 6 _ 3, since 8+6+3=17, missing digit would have to be 25-17=8\r\n" ); document.write( "7 5 _ 3, since 7+5+3=15, missing digit would have to be 25-15=10,\r\n" ); document.write( " impossible, for 9 is the largest digit. So the others\r\n" ); document.write( " require an even larger tens digit. So they are all \r\n" ); document.write( " ruled out.\r\n" ); document.write( "\r\n" ); document.write( "So it's either\r\n" ); document.write( "\r\n" ); document.write( "9 7 6 3 \r\n" ); document.write( "\r\n" ); document.write( "or\r\n" ); document.write( "\r\n" ); document.write( "8 6 8 3My thousands digit is twice the value of one digit, But the thousands digit of 9763 is 9 which is not twice \r\n" ); document.write( "any one digit\r\n" ); document.write( "\r\n" ); document.write( "And the thousands digit of 8683 is 8 which is not twice \r\n" ); document.write( "any one digit\r\n" ); document.write( "either.\r\n" ); document.write( "\r\n" ); document.write( "So there is no such 4-digit number. Tell your teacher \r\n" ); document.write( "that he or she has made a mistake and given you an\r\n" ); document.write( "impossible problem.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |