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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-9

  • question_answer
    The sum of both digits of a two-digit number is 7. If the digits of the numbers are interchanged, the number so formed is greater than the original number by 27. Find the original number.                                        [NICL (AO) 2015]

    A) 25        

    B) 26

    C) 27                                

    D) 28

    E) 29

    Correct Answer: A

    Solution :

    By going through option, we can eliminate the other 4.
    \[\therefore \] 25 is the correct option, as sum of both digit is 7. and by interchanging the position of the digit i.e. 25 turns into 52.
    Difference \[=52-25=27\]
    Alternate Method
    Let the digit at tens place be y and at one's place by x.
    Then, according to; the question,
    \[x+y=7\]                                 ... (i)
    and       \[-\,(10y-x)+(10x+y)=27\]
    \[\Rightarrow \]               \[-\,9y+9x=27\]            
    \[-\,y+x=3\]                  ... (ii)
    On solving Eqs. (i) and (ii), we get
    \[2x=10\]\[\Rightarrow \]\[x=5\]
    \[\therefore \]                  y = 2
    So, number is 25.


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