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    Question

    A number is such that when it is multiplied by 9, it

    gives another number which is as much above from 420 as the original number (itself) is below 420. The average of the original number and the resultant number is:
    A 320 Correct Answer Incorrect Answer
    B 210 Correct Answer Incorrect Answer
    C 420 Correct Answer Incorrect Answer
    D 350 Correct Answer Incorrect Answer
    E 280 Correct Answer Incorrect Answer

    Solution

    Let the number be x then.
    420 – x = 9x – 420
    ⇒ x = 84 and 9x = 756
    Therefore the average of 84 and 756 is 420.

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