SOLUTION: The sum of the digits of a two-digit number is 11. If 45 is added to the number, the result is the number reversed. Find the number.

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Question 187305: The sum of the digits of a two-digit number is 11. If 45 is added to the number, the result is the number reversed. Find the number.
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's 27. Still.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


10s digit: x

1s digit: y

So:



Also the number is then:



And the number with the digits reversed is:



And we are given that:



Substituting:



And the number is 38.

Note that 38 + 45 = 83 and 3 + 8 = 11, so the answer checks.

John