Question

the sum of the digits of a two digit number is 11. the number got by interchanging the digital is 27 more than the original number. what is the number​

Answer 1

Answer:

47

Step-by-step explanation:

let the no be. "ab" which can also be written as 10a+b

interchanging the digits gives us the no " ba " which can also be written as 10b +a

given,

a+b =11. -------( 1 )

(10b+a) -(10a+b) =27

i.e. 9b-9a = 27

b-a=3. --------( 2 )

adding both (1 ) and (2)

a=4 , b=7