Question

Sum of digits of a two digit number is 9. When the digits are interchanged, the
new number is greater than the original number by 9. Find the original number.​

Answer 1

$\huge\bold\star\purple{Answer}$

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:

original number is 45,,,

if v interchange v get 54,,,

adding 4+5=9,,first criteria

difference of 54-49=9, second criteria

both criteria fulfilled