Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-28

  • question_answer
    The sum of both digits of a two digit number is 7. If the digits of the number are interchanged, the number so formed is greater than the original number by 27. Find the original number.

    A)  25       

    B)         26  

    C)  27                   

    D)  28

    Correct Answer: A

    Solution :

    Let the number be \[\left( 10x+y \right)\] \[\because \]       \[x+y=7\]                                 ?(i) and \[(10y+x)-(10x+y)=27\] \[\Rightarrow \]               \[9y-9x=27\] \[\Rightarrow \]               \[y-x=3\]                       ?(ii) \[\therefore \]From Eqs. (i) and (ii), \[x=2\] and                   \[y=5\] \[\therefore \]Original number = 25

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