Practice Test Discussion

Q)

If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1 : 2, what is the original number?

[United Bank of India (POl), 2009]

    • Explanation

    let the original number be 10x+y

    Now, by interchanging the position of the digits of the number, we get 10y+x

    Accoding to the question,

    (10x+y)−(10y+x)=27

    ⇒9x-9y=27⇒x-y=3⇒yx=12⇒x=2y

    If y=3, x=6

    Then, (10×6)+3 = 63

    Hence option B is correct.

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