SOLUTION: the sum of the digits of a two-digit counting number is 12 and the ratio of the units' digit to the tens' digit is 1 to 2. what is the number?

Question 154960This question is from textbook advanced mathematics
: the sum of the digits of a two-digit counting number is 12 and the ratio of the units' digit to the tens' digit is 1 to 2. what is the number? This question is from textbook advanced mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the sum of the digits of a two-digit counting number is 12 and the ratio of the units' digit to the tens' digit is 1 to 2. what is the number?
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Let the number be 10t + u where t is the tens digit and u is the units digits.
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EQUATION:
t + u = 12
u/t = 1/2
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Rearrange:
t + u = 12
t = (1/2)u
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substitute to solve for "u":
(1/2)u + u = 12
(3/2)u = 12
u = 8 (the units digit)
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Substitute into t+u = 12 to solve for "t":
t + 8 = 12
t = 4 (the tens digit)
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The original number was 48
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Cheers,
Stan H.

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