Question

Sum of the 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

Answer:

heya mate there's your answer

answer is 36

Step-by-step explanation:

☆The sum of digits in 36is 3+6=9

☆By interchanging the digits we get 63 which is 27 more than the original number.

36+27=63.

☆So the required number is 36

hope it helps you

Thank you

Answer 2

Answer:

Here is your answer:)

Step-by-step explanation:

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.