document.write( "Question 1164151: How to find the number? The units digit of a two-digit number is three more
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document.write( "than the tens digit.The number is equal to four times the sum of the digits. Find the number. (Hint: We can represent a two digit number as 10t+u.) \n" );
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Algebra.Com's Answer #788440 by Edwin McCravy(20063) You can put this solution on YOUR website! \r\n" ); document.write( "Instead of doing your problem, here is another one EXACTLY like yours\r\n" ); document.write( "in every way for you to use as a model in doing yours:\r\n" ); document.write( " \n" ); document.write( "How to find the number? The units digit of a two-digit number is five more \n" ); document.write( "than the tens digit. The number is equal to three times the sum of the \n" ); document.write( "digits. Find the number.(Hint:we can represent a two digit number as 10t+u.) \n" ); document.write( " \r\n" ); document.write( "t = tens digit\r\n" ); document.write( "u = units digit\r\n" ); document.write( "10t+u = the two-digit number\r\n" ); document.write( "t+u = sum of digits\r\n" ); document.write( " \n" ); document.write( "The units digit of a two-digit number is five more than the tens digit. \n" ); document.write( " \r\n" ); document.write( "units digit = tens digit + 5\r\n" ); document.write( " u = t + 5\r\n" ); document.write( "\r\n" ); document.write( "u = t + 5\r\n" ); document.write( " \n" ); document.write( "The number is equal to three times the sum of the digits. \n" ); document.write( " \r\n" ); document.write( "The number = 3 times sum of digits\r\n" ); document.write( " 10t+u = 3 ∙ (t+u)\r\n" ); document.write( "\r\n" ); document.write( "10t + u = 3(t + u)\r\n" ); document.write( " \n" ); document.write( "Find the number. \n" ); document.write( " \r\n" ); document.write( "Substitute t + 5 for u in\r\n" ); document.write( "\r\n" ); document.write( " 10t + u = 3(t + u)\r\n" ); document.write( "\r\n" ); document.write( "10t + t + 5 = 3(t + t + 5)\r\n" ); document.write( "\r\n" ); document.write( " 11t + 5 = 3(2t + 5)\r\n" ); document.write( "\r\n" ); document.write( " 11t + 5 = 6t + 15\r\n" ); document.write( " \r\n" ); document.write( " 5t = 10\r\n" ); document.write( "\r\n" ); document.write( " t = 2\r\n" ); document.write( "\r\n" ); document.write( "Substitute 2 for t in \r\n" ); document.write( "\r\n" ); document.write( " u = t + 5\r\n" ); document.write( " \r\n" ); document.write( " u = 2 + 5\r\n" ); document.write( "\r\n" ); document.write( " u = 7\r\n" ); document.write( "\r\n" ); document.write( "The tens (first) digit is 2 and the units (second) digit is 7.\r\n" ); document.write( "\r\n" ); document.write( "So the number is 27.\r\n" ); document.write( "\r\n" ); document.write( "Now do your problem the exact same way.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |