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?


Plz ans this question fast properly

Answer 1

Answer:

36

Step-by-step explanation:

Let the digits be x and y

x+y = 9 - ----(1)

Number = 10x+y

Interchanged digits resulting number = 10y+x

10y+x = 10x+y + 27

-9x+9y= 27  --- (2)

-9(9-y)+9y = 27  ---- substituting x= 9-y  from (1)

-81+9y+9y = 27

18y= 108

y=6

x= 3

Number =36