Question

the sum of the digits of a two-digit number is Nayan then number got by interchanging the digits the 27 more than the original number what is the number​

Answer 1

Answer:

The two digit number is 36.

Step-by-step explanation:

Let the number at the ten's place be x and that at the one's place be y.  

Number obtained = 10x + y

The sum of the digits in a two-digits number is 9.

x + y = 9                                       .......(I)

The number obtained by interchanging the digits exceeds the original number by 27.

10y + x - ( 10x + y ) = 27

⇒ 10y + x - 10x - y = 27

⇒ 9y - 9x = 27

⇒ y - x = 3                                  .......(II)

Adding (I) and (II)

                       x + y = 9  

             +    - x + y = 3  

                            2y = 12

                              y = 6

                              x = 3

Thus, the number is 36.

Answer 2

Answer:

the number is 36.

Step-by-step explanation: