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? Please tell answer in doing it in a rough notebook. One of the easiest methods .​

Answer 1

Answer:

Let the two numbers be X and Y. X is the tenth place digit and Y is the once place digit.

Original number is of the form 10x+y and interchanged number is of the form 10y+x.

Given that

X+Y=9, is your equation 1

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

Then open the brackets

10y+x-10x-y=27

9y-9x=27, is your equation 2.

Then use elimination or substitution method for solving these two equations and you will get the answer.

I THINK THIS IS THE BEST WAY OF SOLVING THIS QUESTION AND I HOPE I WILL HELP YOU.