document.write( "Question 1205571: A two-digit number is such that its tens digit is greater than its unit digit by 4. The two-digit number is less than 4 times the product of its digits by 11. Find the number \n" ); document.write( "
Algebra.Com's Answer #842467 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A two-digit number is such that its tens digit is greater than its unit digit by 4. \n" ); document.write( "The two-digit number is less than 4 times the product of its digits by 11. Find the number \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The condition is ambiguous. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "If the digits are \"a\" and \"b\" (where \"a\" is the tens' digit, \"b\" is the ones digit),\r\n" ); document.write( "then the second condition can be interpreted in two different ways\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (a) EITHER N < 4*a*b*11\r\n" ); document.write( "\r\n" ); document.write( " (b) OR N < 4*a*b - 11.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Strictly saying, in English, only interpretation (a) corresponds to the text \r\n" ); document.write( "written in the post, but it leads to several possible answers.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In order interpretation (b) be valid, the wording must be changed: \r\n" ); document.write( "\r\n" ); document.write( " \"The two-digit number is 11 less than 4 times the product of its digits.\"\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Since the condition is ambiguous, this post can not be considered as a Math problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Typical soup of words, which does not deserve serious consideration.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |