Question

sum of 2 digit number is 9. when we interchange the digits, it is found that the resulting new number is greater than the original number by 27. what is the 2 digit number? ​

Answer 1

Answer:

63

Step-by-step explanation:

let the no. in ten's place be x and

units place be y

the required no. is 10x + y

as per the conditions

=>x + y = 9 ............(1)

and

=>10y + x + 27 = 10x + y

=>9y + 27 = 9x

=>y + 3 = x

=>x - y = 3...........(2)

solving eq 1 and 2 we get

x + y = 9

x - y = 3

...............

2y = 6

y = 3

from eq 1

x = 9 - 3

x = 6

therefore the required no.

= 10 x 6 + 3

= 63