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

Let the 2 digits be x and y
Therefore x + y =9
Therfore x = 9-y
Given
10x + y + 10y + x = 27
11x + 11y = 27
11(9-y) + 11y = 27
99-y +11y = 27
10y = 27-99
Y = 72/10
Y = 7
And x =2