Question

sum of the digit of a two 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 two digit number​

Answer 1

Answer:

hope this will help you

Answer 2

Step-by-step explanation:

here

let the unit digit be x

and tens digit be y

then

x+y = 9 -----(i)

number formed = 10x+y

now reversed number = 10y+ x

Given

10y+x-10x-y= 27

=> 9y-9x= 27

=> 9(y-x) = 27

=> y-x = 27/9

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

From equations (i) and (ii)

On adding them we get

x+y +y-x= 9+3

=> 2y = 12

=>y = 12/2

=> y = 6

So x = 9-y= 9- 6= 3

Required number = 10(3)+ 6

= 30+6= 36

Required number = 36

hope it helps ✌