Question

sum of the digits of a two digit number is 9. if 27 is added to the number, the digit get interchanged. find the number​

Answer 1

Answer:

the number is 36

Step-by-step explanation:

let the digits of a two digit number is x and y

the number is 10x+y

given,x+y=9

x=9-y

if the digits are interchanged then the number is 10y+x

according to question,

10x+y+27=10y+x

=> 10x-x+y-10y+27=0

=> 9x-9y= -27

=> -9(y-x)= -27

=> y-x= -27/ -9=3

putting the value of x,

y-(9-y)=3

=> y-9+y=3

=> 2y=3+9=12

=> y=12/2=6

x=9-y=9-6=3

so, the number is 36