SOLUTION: The sum of the digits of a two digit number is 5. When the digits are reversed, the new number is 27 less than the original number. What is the original number?

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Question 392434: The sum of the digits of a two digit number is 5. When the digits are reversed, the new number is 27 less than the original number. What is 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 5. When the digits are reversed, the new number is 27 less than the original number. What is the original number?
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Let the number be 10t+u.
Equations:
t + u = 5
10u+t = 10t+u-27
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Rearrange:
t = 5-u
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Substitute for "t" and solve for "u":
10u+5-u = 10(5-u)+u-27
9u+5 = -9u+23
18u = 18
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u = 1
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Solve for "t":
t = 5-1 = 4
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Ans: 41
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Cheers,
stan H.