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    Question

    5 positive numbers are written on a piece of paper. Sum

    of first 3 numbers is 45 and ratio of the 4th and the 5th number is 2:3. If difference between the 4th and the 5th number is 18, then find the average of all the numbers.
    A 22 Correct Answer Incorrect Answer
    B 23 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 27 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Given, 4th number:5th number = 2:3 Let, 4th number = 2x 5th number = 3x So, 3x – 2x = 18 Or, x = 18 Required average = {(45 + 18 × 2 + 18 × 3)/5} = (135/5) = 27

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