Question

the sum of the digit of a two digit number is 7 . the number obtained by interchanging the digit exceeds the original number by 27. find the number

Answer 1

Answer:

52

Step-by-step explanation:

Let, two digit number be 10x + y.

First case,          x + y = 7......................(i)

Second case,    10y + x + 27 = 10 x + y

                     or, 9x - 9y = 27

                    or, x - y = 3.........................(ii)

Solving equation (i) and (ii),

          x= 5 , y =2

so, the number is 52