Question 817707
) The sum of the digits of a two-digit number is 13.When the digits are reversed, the new number is 27 more than the original number.What is the original number.
let unit digit of number is x 
    ten digit of number is 13-x
number  two digit =10xten digit +unit digit
                  =10(13-x)+x
                   =130-10x+x
                   =130-9x
  if digit are reserved  ten digit will be x and unit digit will be 13-x
  reverse  number will be =10x+13-x
                          =9x+13
as per given condition    
reverse number -27= original number
9x+13-27=130-9x
9x+9x=130+14
18x =144
x=144/18=8
unit digit=x=8
ten digit =13-x=13-8=5
number =58
Answer two digit number is 58