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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
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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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The number::: 100a + 10b + c
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Equations:
a + b + c = 12
a = 3b
b = (1/2)c
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a = (3/2)c
Substitute for a and for b and solve for "c":
(3/2)c + (1/2)c + c = 12
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3c = 12
c = 4
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b = (1/2)c = 2
a = (3/2)c = 6
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Number = 624
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Cheers,
Stan H.
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