document.write( "Question 402909: I have a math riddle and I have tried to solve along with my parents and we are confused.\r
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document.write( "The digit in the tens place is twice as big as the digit in the tenths place.
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document.write( "The digit in the ones place is 1/2 the digit in the tenths place.
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document.write( "The digit in the hundreths place is 1/2 the digit in the ones place.
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document.write( "The digit in the hundreds place is the largest odd digit. \n" );
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Algebra.Com's Answer #285013 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "_ _ _ . _\r\n" ); document.write( "h t o t\r\n" ); document.write( "u e n e\r\n" ); document.write( "n n e n \r\n" ); document.write( "d s s t \r\n" ); document.write( "r h\r\n" ); document.write( "e s\r\n" ); document.write( "d\r\n" ); document.write( "s\r\n" ); document.write( "\r\n" ); document.write( ">>...The digit in the tens place is twice as big as the digit in the \r\n" ); document.write( "tenths place...<<\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( ">>...The digit in the ones place is 1/2 the digit in the tenths place...<<\r\n" ); document.write( "\r\n" ); document.write( "So the digit in the tenths place is a digit that can be halved to give a\r\n" ); document.write( "digit and doubled to give a digit.\r\n" ); document.write( "\r\n" ); document.write( "The fact that it must be able to be halved tells us it's even.\r\n" ); document.write( "The fact that it must be small enough so that when doubled, the result \r\n" ); document.write( "will be a digit, tells us it's 4 or less.\r\n" ); document.write( "\r\n" ); document.write( "So the tenths digit must be 2 or 4\r\n" ); document.write( "\r\n" ); document.write( "If the tenth digit were 2, then the digit in the ones place would be\r\n" ); document.write( "half of 2, or 1 \r\n" ); document.write( " \r\n" ); document.write( "But that can't be because \r\n" ); document.write( "\r\n" ); document.write( ">>...The digit in the hundredths place is 1/2 the digit in the ones place...<<\r\n" ); document.write( "\r\n" ); document.write( "and half of 1 is not a digit.\r\n" ); document.write( "\r\n" ); document.write( "Therefore the tenths digit has to be 4, \r\n" ); document.write( "\r\n" ); document.write( "_ _ _ . 4\r\n" ); document.write( "h t o t\r\n" ); document.write( "u e n e\r\n" ); document.write( "n n e n \r\n" ); document.write( "d s s t \r\n" ); document.write( "r h\r\n" ); document.write( "e s\r\n" ); document.write( "d\r\n" ); document.write( "s\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and the tens digit is twice that, or 8, \r\n" ); document.write( "\r\n" ); document.write( "_ 8 _ . 4\r\n" ); document.write( "h t o t\r\n" ); document.write( "u e n e\r\n" ); document.write( "n n e n \r\n" ); document.write( "d s s t \r\n" ); document.write( "r h\r\n" ); document.write( "e s\r\n" ); document.write( "d\r\n" ); document.write( "s\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and the ones digit is half the 4 in the tenths place or 2, \r\n" ); document.write( "\r\n" ); document.write( "_ 8 2 . 4\r\n" ); document.write( "h t o t\r\n" ); document.write( "u e n e\r\n" ); document.write( "n n e n \r\n" ); document.write( "d s s t \r\n" ); document.write( "r h\r\n" ); document.write( "e s\r\n" ); document.write( "d\r\n" ); document.write( "s\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and the hundreds digit is 1/2 the 2 in the ones place, or 1.\r\n" ); document.write( "So we have it\r\n" ); document.write( "\r\n" ); document.write( "1 8 2 . 4\r\n" ); document.write( "h t o t\r\n" ); document.write( "u e n e\r\n" ); document.write( "n n e n \r\n" ); document.write( "d s s t \r\n" ); document.write( "r h\r\n" ); document.write( "e s\r\n" ); document.write( "d\r\n" ); document.write( "s\r\n" ); document.write( "\r\n" ); document.write( "Answer 182.4\r\n" ); document.write( "\r\n" ); document.write( "So we didn't even need this:\r\n" ); document.write( "\r\n" ); document.write( ">>...The digit in the hundreds place is the largest odd digit...<<\r\n" ); document.write( "\r\n" ); document.write( "It's not just the LARGEST odd digit, it's the ONLY odd digit. And\r\n" ); document.write( "what else is ODD is that 1 is the SMALLEST odd digit of all odd numbers,\r\n" ); document.write( "and here it gets to be the LARGEST, so how can the SMALLEST of all be\r\n" ); document.write( "LARGER than any, let alone LARGEST of any other odd number? It can't. \r\n" ); document.write( "So it's LARGER than NONE??? Is that really a case of 'LARGER', let alone\r\n" ); document.write( "a case of 'LARGEST'\r\n" ); document.write( "Just being silly! \r\n" ); document.write( "J \r\n" ); document.write( "Edwin\n" ); document.write( " |