Question 255070
let the number be ab 

we have a+b=10

and 10a+b-18 is a multiple of 11 (because it has the same digits)

now since a+b=10 we have few possibilities (91,82,73,64,19,28,37,46) now subtract 18 from these nos and see which no is divisible by 11

we will get the answer as 73

73-18=55