document.write( "Question 518202: The sum of the digits is 12.
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document.write( "The digit in the tousandths place is 3 times the digit in the tens place.
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document.write( "To the nearest ten, the number rounds to 30.
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document.write( "The digit in the tenths place is one more than the digit in the hundredths place.
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document.write( "What is the number? \n" );
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Algebra.Com's Answer #345173 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The three digits: a, b, c, d \n" ); document.write( ": \n" ); document.write( "\"The sum of the digits is 12.\" \n" ); document.write( "a + b + c + d = 12 \n" ); document.write( ": \n" ); document.write( "\"The digit in the thousandths place is 3 times the digit in the tens place.\" \n" ); document.write( "a = 3c \n" ); document.write( "\"The digit in the tenths place is one more than the digit in the hundredths place.\" \n" ); document.write( "c = b + 1 \n" ); document.write( "or \n" ); document.write( "b = (c-1) \n" ); document.write( ": \n" ); document.write( "a + b + c + d = 12 \n" ); document.write( "Replace a and b \n" ); document.write( "3c + (c-1) + c + d = 12 \n" ); document.write( "5c + d = 12 + 1 \n" ); document.write( "5c + d = 13 \n" ); document.write( "Assume that c has to equal 2, therefore \n" ); document.write( "5(2) + d = 13 \n" ); document.write( "10 + d = 13 \n" ); document.write( "d = 13 - 10 \n" ); document.write( "d = 3 \n" ); document.write( "find the rest of the digits \n" ); document.write( "a = 3(2) = 6 \n" ); document.write( "b = 2-1 = 1 \n" ); document.write( "c = 2 \n" ); document.write( "d = 3 \n" ); document.write( "then \n" ); document.write( "6123 is the number \n" ); document.write( ": \n" ); document.write( "Assume that c has to equal 1, therefore \n" ); document.write( "5(1) + d = 13 \n" ); document.write( "5 + d = 13 \n" ); document.write( "d = 13 - 5 \n" ); document.write( "d = 8 \n" ); document.write( "find the rest of the digits \n" ); document.write( "a = 3(1) = 3 \n" ); document.write( "b = 1-1 = 0 \n" ); document.write( "c = 1 \n" ); document.write( "d = 8 \n" ); document.write( "then \n" ); document.write( "3018 is the number \n" ); document.write( ": \n" ); document.write( "\"To the nearest ten, the number rounds to 30.\" Not sure what bearing this has on this problem. \n" ); document.write( " |