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Question 881834: if the digits of certain two digit positive integers are interchanged the resulting integer is 18 more than the original number what is the greatest possible value of the original integer
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! if the digits of certain two digit positive integers are interchanged the resulting integer is 18 more than the original number what is the greatest possible value of the original integer
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original #:: 10t + u
reversed # : 10u + t
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Equation:
10u+t - (10t+u) = 18
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9u - 9t = 18
u - t = 2
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If t = 1, u = 3:::: # = 13
If t = 2, u = 4:::: # = 24
If t = 3, u = 5:::: # = 35
etc..
If t = 7, u = 9::: # = 79 (greatest possible)
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Cheers,
Stan H.
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