Question

sum of the digits of a t 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

Let x be the unit digit and y be the tenth digit.

y+x = 9 -> y=9-x

10x+y=10y+x+27

10x+9-x = 10(9-x)+x+27

10x+9-x = 90-10x+x+27

18x=108

x=6

y=3

therefore the number is 36

63-36 =27