SOLUTION: if the digits of the two digit number are reversed in such a way that the new number is greater than first by 54. find the difference between the two digits.

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Question 888475: if the digits of the two digit number are reversed in such a way that the new number is greater than first by 54. find the difference between the two digits.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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if the digits of the two digit number are reversed in such a way that the new number is greater than first by 54.
find the difference between the two digits.
:
Let 10a+b = the number
and
10b+a = the reversed number (new number)
:
(10b+a) - (10a+b) = 54
10b - b - 10a = 54
9b - 9a = 54
simplify, divide by 9
b - a = 6 the difference between the two digits