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?

# sum of the digit of a two- digit

### 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”

### Leave a Comment

You must be logged in to post a comment.

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