SOLUTION: the sum of the digits of a two-digit number is 14. if the number represented by reversing the digits is subtracted from the origional number, the result is 18. what is the origiona

Question 234379: the sum of the digits of a two-digit number is 14. if the number represented by reversing the digits is subtracted from the origional number, the result is 18. what is the origional number?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the sum of the digits of a two-digit number is 14.
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if the number represented by reversing the digits is subtracted from the original number, the result is 18.
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what is the origional number?
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Let the original number be 10t+u
Equations:
t + u = 14
10t+u - (10u+t) = 18
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Rearrange:
t + u = 14
9t-9u = 18
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Simplify:
t+u = 14
t-u = 2
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Add and solve for "t"
2t = 16
t = 8
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Substitute into t+u = 14 to get u = 6
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Original Number: 86
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Cheers,
Stan H.
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