SOLUTION: the sume of the digits in a two-digit number is 7. The new number obtained when the digits are reversed is 27 less than the original number. Find the original number.

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Question 441006: the sume of the digits in a two-digit number is 7. The new number obtained when the digits are reversed is 27 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 sum of the digits in a two-digit number is 7. The new number obtained when the digits are reversed is 27 less than the original number. Find the original number.
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original number: 10t+u
reversed number: 10u+t
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Equation:
t + u = 7
10t+u -(10u+t) = 27
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Rearrange:
t + u = 7
9t-9u = 27
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Rearrange:
t + u = 7
t - u = 3
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Add and solve for "t:
2t = 10
t = 5
----
u = 2
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Original number:
10t+u = 52
========================Cheers,
Stan H.