(ii) The sum of the digits of a two-digit number is 9. Also, nine time

1.	(ii) The sum of the digits of a two-digit number is 9. Also, nine times this number istwice the number obtained by reversing the order of the digits. Find the number
Answer» Let’s say x is the unit digit and y is 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 so y = 3 let’s check 63 - 39 =27 27 = 27 (correct)

(ii) The sum of the digits of a two-digit number is 9. Also, nine times this number istwice the number obtained by reversing the order of the digits. Find the number

Answer»

Let’s say x is the unit digit and y is 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

so y = 3

let’s check

63 - 39 =27

27 = 27 (correct)