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Math Help - Number formed from different number of digits.

  1. #1
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    Number formed from different number of digits.


    Q27: The sum of all possible two digit number formed from three different
    one digit natural number when divided by the sum of the original three
    number is equal to:?
    A. 18
    B. 22
    C. 36
    D. None of these
    how....................?
    Last edited by mr fantastic; February 11th 2011 at 01:37 AM. Reason: Re-titled.
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  2. #2
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    Quote Originally Posted by bahadarali View Post
    Q27: The sum of all possible two digit number formed from three different
    one digit natural number when divided by the sum of the original three
    number is equal to:?
    A. 18
    B. 22
    C. 36
    D. None of these
    how....................?


    Let a,b,c be three different digits, so the sum of the different 2-digit numbers formed with them is:

    (a\times 10 + b)+(b\times 10 + a)+(a\times 10 + c)+(c\times 10 + a)+(b\times 10 + c)+(c\times 10 + b)=

    =2(a+b+c)(10+1)=...so the answer is B.

    Tonio
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