Question

sum of the digits of a two-digit no. is 9. when we interchange the digits, it is found that the resulting new number is greater than the original no. by 27. what is the two-digit no. ?​

Answer 1

Answer:

Let the first number (ones digit) = x

Let the first number (tens digit) = 9 - x

Therefore, according to the question,

x * 10 + 9 - x

After interchanging

10(9 - x) + x

By equating them;

10x + 9 - x - 27 = 90 - 10x + x

9x - 18 = 90 - 9x

9x + 9x = 90 + 18

18x = 108

x = 6

9 - x = 9 - 6 = 3

Therefore, the number = 36