Answer:

96

Step-by-step explanation:

96 is required the no.

Answer:

given :

sum of two digit number and number obtained by reversing is 165

the digit differ by 3

and also ten,s digit is bigger than unit's digit

let the digits of the number be x and y

so by applying the given conditions we get the following equations :

(10x+y) + (10y+x)=165_ _ _ _ _(1)

x-y=3_ _ _ _ _ _ (2)

11x+11y=165

taking out 11 as a common factor

solving (1) and (2) we get ,

2x =18

x=9

y=15-9=6

hence the number is 96