SOLUTION: The sum of e digits of a two digit number is 9. If the digits are reversed,the new number is 45 less than the original number. Find the original number.

Question 619085: The sum of e digits of a two digit number is 9. If the digits are reversed,the new number is 45 less than the original number. Find the original 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 9. If the digits are reversed,the new number is 45 less than the original number.
Find the original number.
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Let the number be 10t+u
Reversed you get 10u+t
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Equations:
t + u = 9
10t+u - (10u+t) = 45
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Rearrange:
t + u = 9
9t-9u = 45
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Modify;
t + u = 9
t - u = 5
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2t = 14
t = 7
Then u = 2
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Original Number: 10t+u = 72

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