document.write( "Question 765675: The sum of the digits of a certain three digit number is 12. If the hundreds digit is three times the tens digit, and the tens digit digit is one-half the ones digit, what is the number
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Algebra.Com's Answer #466320 by stanbon(75887)\"\" \"About 
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The sum of the digits of a certain three digit number is 12. If the hundreds digit is three times the tens digit, and the tens digit digit is one-half the ones digit, what is the number
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\n" ); document.write( "The number::: 100a + 10b + c
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\n" ); document.write( "Equations:
\n" ); document.write( "a + b + c = 12
\n" ); document.write( "a = 3b
\n" ); document.write( "b = (1/2)c
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\n" ); document.write( "a = (3/2)c
\n" ); document.write( "Substitute for a and for b and solve for \"c\":
\n" ); document.write( "(3/2)c + (1/2)c + c = 12
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\n" ); document.write( "3c = 12
\n" ); document.write( "c = 4
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\n" ); document.write( "b = (1/2)c = 2
\n" ); document.write( "a = (3/2)c = 6
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\n" ); document.write( "Number = 624
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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