SOLUTION: The sum of the digits of a two certain number is 10. If the number formed by interchanging the digits is subtracted from the original number, the result is 18. Find the original nu

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Question 385136: The sum of the digits of a two certain number is 10. If the number formed by interchanging the digits is subtracted from the original number, the result is 18. 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 certain number is 10.
If the number formed by interchanging the digits is subtracted from the original number, the result is 18.
Find the original number
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Let the original number be 10t+u
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Equations:
t + u = 10
10t+u-(10u+t) = 18
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Rearrange the 2nd equation:
t + u = 10
9t -9u = 18
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Modify:
t + u = 10
t - u = 2
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Add:
2t = 12
t = 6
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Then u = 4
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Original Number: 10t+u = 64
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Cheers,
Stan H.