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      Question

      The average age of Raj and his father is 45 years. If

      the ages of the father and the grandfather of Raj are respectively two and three times that of Raj, then the age of Raj's grandfather is
      A 75 years Correct Answer Incorrect Answer
      B 84 years Correct Answer Incorrect Answer
      C 81 years Correct Answer Incorrect Answer
      D 90 years Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let Raj's age be x. Then: Father's age = 2x Average of Raj and father = (x + 2x) / 2 = 3x / 2 Given: 3x / 2 = 45 → So, x = 30 Now: Raj’s age = 30 Grandfather’s age = 3 × Raj’s age = 3 × 30 = 90 Grandfather’s age = 90 years

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