The sum of the digits in a two-digit number is 14.The new number obtained when the digits are reversed is 18 more than the original number . What is the original number?

A 59

B 77

C 86

D None

Solution

Correct Answer: Option D

মনে করি ,
       সংখ্যাটির একক স্থানীয় অংক =x
এবং  দশক      "         "         "      =y
অতএব , সংখ্যাটি ,x+y=14.......(i)
এবং 10x+y-18=10y+x
    বা, 10x+y-10y-x=18
    বা, 9x-9y  =18
    বা,x-y=2......(ii)
(i)+(ii)
        2x=16
     বা,x=8
অতএব ,(i)
             8+y=14
          বা,y =6
অতএব , সংখ্যাটি 10.6+8
                         =60+8=68

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