# 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(30944)   (Show Source): You can put this solution on YOUR website!It's 27. Still. Answer by solver91311(16868)   (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