SOLUTION: The tens digit of a two digit number is 3 times the units digit. if the digits are reversed, the new number is 54 less than the original number. Find the original number.

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Question 669512: The tens digit of a two digit number is 3 times the units digit. if the digits are reversed, the new number is 54 less than the original number. Find the original number.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The tens digit of a two digit number is 3 times the units digit. if the digits are reversed, the new number is 54 less than the original number. Find the original number.
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Let the original number be 10t+u.
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Equations:
t = 3u
10u+t = 10t+u-54
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Substitute and rearrange to solve for "u":
9u -9(3u) = -54
u - 3u = -6
u = 3
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Solve for "t":
t = 3u
t = 9
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Original Number: 10t+u = 93
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Cheers,
Stan H.