Question

The sum of digit of a 2 digit number is 9 if 27 is subtracted from the number the digit are reversed find the number

Answer 1

Answer:

63

Step-by-step explanation:

let the the number be x

and another no be y

Atq

the sum of the digit of a 2 digit no is 9

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

and

its also given,

10y + x - 27 = 10x + y

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

=> 9y - 9x = 27

=> 9 ( y - x ) = 27

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

Now, By adding eq. (i) and (ii), we get

x + y = 9

- x + y = 3

2y = 12

( y = 6 )

Now, put the value of y = 6 in eq. (i)

x + y = 9

x + 6 = 9

x = 9 - 6

( x = 3 )

Then, Number = 10y + x

= 10 ( 6 ) + 3

= 60 + 3

= 63

Hence, The required number is 63.