Practice Test Discussion

Q)

The difference between a two digit number and the number obtained by interchanging the two digits of the number is 9. What is the difference between the two digits of the number?

[United India Insurance, AAO, 2012]

    • Explanation

    let the two digit number be 10x+y

    and the number obtained by interchanging the position of the digits be 10y+x

    According to the question,

    (10x+y)−(10y+x)= 9

    ⇒ 9x−9y=9

    ⇒ 9(x−y)=9

    ⇒ (x−y)=1

    Hence, option C is correct.

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