sum of the digit of a two- digit
number. is 9 when we interchange
the digit, it is found that the
resulting new nu

1 thought on “sum of the digit of a two- digit<br />number. is 9 when we interchange <br />the digit, it is found that the<br />resulting new nu”

1. Answer:

   Let the digits at tens place and ones place: x and 9−x respectively.

   ∴ original number =10x+(9−x) = 9x+9

   Now Interchange the digits: Digit at ones place and tens place: x and 9−x respectively.

   ∴ New number: 10(9−x)+x

   =90−10x+x

   =90−9x

   AS per the question

   New number = Original number +27

   90−9x=9x+9+27

   90−9x=9x+36

   18x=54

   x= 54÷18

   x=3

   Digit at tens place : 3 and one’s place : 6

   ∴ Two digit number: 36

   Hope it Helps,

   Slight Help taken from toppr,

   Byeeee

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