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Home Verbal Reasoning Arithmetic Reasoning See What Others Are Saying!
  • Question
  • A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number?


  • Options
  • A. 47
  • B. 65
  • C. 83
  • D. 92

  • Correct Answer
  • 47 

    Explanation
    Let the ten's digit be x. Then, unit's digit = (11 - x).

    So, number = 10x + (11 - x) = 9x + 11.

    Therefore (9x + 11) + 27 = 10 (11 - x) + x ⟺ 9x + 38 = 110 - 9x ⟺ 18x = 72 ⟺ x = 4.

    Thus, ten's digit = 4 and unit's digit = 7.

    Hence, required number = 47.


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