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Discussion :: Problems on Numbers

  1. What is the two-digit number?

    I. The difference between the two digits is 9.

     II. The sum of the digits is equal to the difference between the two digits.

  2. A.

    I alone sufficient while II alone not sufficient to answer

    B.

    II alone sufficient while I alone not sufficient to answer

    C.

    Either I or II alone sufficient to answer

    D.

    Both I and II are not sufficient to answer

    E.

    Both I and II are necessary to answer

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    Answer : Option E

    Explanation :

    Let the tens and unit digits be x and y respectively. Then,

     

     I. x - y = 9.

     

    II. x + y = x - y.

     

    From I and II, we get x - y = 9 and x + y = 9.

     

    On solving, we get x = 9 and y = 0.

     

     Required number is 90.

     

    Thus, both I and II are needed to get the answer.

     

     Correct answer is (E).


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