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

sum of the digit of a two- digit
number. is 9 when we interchange
the digit, it is found that the
resulting new number is greater than
the original number by 27 what
the two digit number?

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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