document.write( "Question 394902: Determine the digits of Y from these clues.\r
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document.write( "The digits of Y add to 16.
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document.write( "The first digit is 4 times the third digit.
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document.write( "The second digit is 3 times the third digit.
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document.write( "Y is a three digit number. \n" );
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Algebra.Com's Answer #280280 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! Determine the digits of Y from these clues.\r \n" ); document.write( "\n" ); document.write( "A. The digits of Y add to 16. \n" ); document.write( "B. The first digit is 4 times the third digit. \n" ); document.write( "C. The second digit is 3 times the third digit. \n" ); document.write( "D. Y is a three digit number.\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "By D it has three digits\r\n" ); document.write( "\r\n" ); document.write( "The third digit can't be more than 2 because by B, any larger digit multiplied\r\n" ); document.write( "by 4 is too big to be a single digit. It can't be 0 because by B, that would\r\n" ); document.write( "make the first digit 0, which it can't be, and so the third digit is either\r\n" ); document.write( "1 or 2.\r\n" ); document.write( "\r\n" ); document.write( "If the third digit were 1, then by B the first digit would be 4, and by C, the\r\n" ); document.write( "second digit would be 3, making the number 431, but A rules that out because\r\n" ); document.write( "4+3+1 is not 16.\r\n" ); document.write( "\r\n" ); document.write( "So the third digit must be 2, and by B the first digit must be 8, and by C, the\r\n" ); document.write( "second digit would be 6, making the number 862, and that satisfies A because\r\n" ); document.write( "8+6+2 = 16. \r\n" ); document.write( "\r\n" ); document.write( "So the answer is 862.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |