Question

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

Answer 1

Let the digits be x and y.

Then, x+y = 9

the original number is 10x+y.

On reversing, we get the new number as 10y+x

The new number is greater than the old number by 27, i.e.

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

or 9y-9x = 27, or y-x = 3

and x+y = 9

Adding the two equations, we get 2y = 12 or y = 6.

Thus, x = 3.

Therefore, the original number is 36.

Answer 2

Answer:

ans is 36

Step-by-step explanation:

let the digit be x and y

Then, x+y=9

the original no. is 10x +y

on reversing, we get the new no. as 10y+x

the new no. is greater than the old no. by 27, i.e..,

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

or 9y-9x=27, or y-x=3and x +y=9

adding the two equations, we get 2y=12 or y=6

Thus, x =3

Therefore, the original no. is 36