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      Question

      The sum of the digits of a two-digit number is 12. When

      the digits are interchanged, the number decreases by 18. Find 160% of the number.
      A 120 Correct Answer Incorrect Answer
      B 148 Correct Answer Incorrect Answer
      C 112 Correct Answer Incorrect Answer
      D 135 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let unit digit = x, tens digit = y Number = (10y + x) ATQ, y + x = 12 ——— (I) (10y + x) – (10x + y) = 18 → 9(y – x) = 18 → y – x = 2 ——— (II) Add (I) and (II): 2y = 14 → y = 7 Then x = 12 – 7 = 5 Number = 10(7) + 5 = 75 160% of 75 = 1.6 × 75 = 120

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