Practice Test Discussion

Q)

If a number of two digits is 'k' times the sum of its digits, then the number formed by interchanging the digits is the sum of the digits multiplied by

[IBPS (PO), 2011]

    • Explanation

    Let the two digit number be (10x+y)

    then according to the question, 10x+y=k(x+y)

    the number obtained by interchanging the digits is 10y+x

    10y+x=11y+11x−10x−y 

    ⇒ 11(x+y)−k(x+y)

    ⇒ (11−k)(x+y)

    ⇒ 11−k

    Hence, option C is correct.

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