SOLUTION: The sum of the digits of a two digit numeral is 11. If the digits were reversed, the resulting number would be 45 greater than the original number. What is the original numeral?

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Question 448359: The sum of the digits of a two digit numeral is 11. If the digits were reversed, the resulting number would be 45 greater than the original number. What is the original numeral?
Answer by rwm(914) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=11
10a+b-10b-a=45
9a-9b=45
a-b=5
a+b=11
2a=16
a=8
b=3
check
83-38=45
ok