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      Question

      Sum of two digits of a two digit number is 11. When

      digits of the number are reversed then number formed is 45 more than the original number. Find the original number.
      A 65 Correct Answer Incorrect Answer
      B 56 Correct Answer Incorrect Answer
      C 83 Correct Answer Incorrect Answer
      D 38 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the number be 10x + y. ATQ, => 10y + x тАУ 10x - y = 45 => y тАУ x = 5 ------ (i) => x + y = 11 ------ (ii) Solving (i) and (ii) , we get => x = 3 and y = 8 Therefore number = 38

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