SOLUTION: The sum of the digits of a two-digit number is 6. When the digits are reversed, the resulting number is 6 greater than 3 times the original number. Find the original number.

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Question 602834: The sum of the digits of a two-digit number is 6. When the digits are reversed, the resulting number is 6 greater than 3 times the original number. Find the original number.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the digits of a two-digit number is 6. When the digits are reversed, the resulting number is 6 greater than 3 times the original number. Find the original number.
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Original Number: 10t+u
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Equations:
t + u = 6
10u+t = 3(10t+u)+6
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Simplify:
10u+t = 30t+3u+6
7u-29t = 6
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Substitute for "u" and solve for "t":
7(6-t)-29t = 6
42-36t = 6
36t = 36
t = 1
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u = 6-t = 5
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Original Number: 15
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Cheers,
Stan H.
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