Question

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

Answer 1

Answer:

x = 6 , y= 3

Step-by-step explanation:

let , one's digit =x

      ten's digit = y

thus number is 10x + y

x + y = 9

10x + y -27 = 10y + x

=> 9x - 9y =27

=> x - y = 3

evaluate

x + y = 9

x - y = 3

2x = 12  

=> x = 6

thus y = 3