Question

    The average age of Anuj, Saroj and Tanuj is 36 years. The average age of Anuj and Saroj is 30 years, while the average age of Tanuj and Anuj is 36 years. Find the average age of Saroj and Tanuj.

    A 42 years Correct Answer Incorrect Answer
    B 44 years Correct Answer Incorrect Answer
    C 40 years Correct Answer Incorrect Answer
    D 45 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Sum of the ages of Anuj, Saroj and Tanuj = 36 × 3 = 108 years So, sum of the ages of Anuj and Saroj = 30 × 2 = 60 years Sum of the ages of Tanuj and Anuj = 36 × 2 = 72 years Therefore, the age of Tanuj = 108 – 60 = 48 years And the age of Saroj = 108 – 72 = 36 years Hence, the average age of Saroj and Tanuj = (36 + 48)/2 = 42 years

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