Question

sum of the digit of a two digit number is 9 the number obtained by reversing the order of the digits of the given number by 27 find the given number​

Answer 1

Step-by-step explanation:

Let the number be XY where X is in ten's place and Y is in unit place so it can also be written as 10(X)+Y. it is given that X+Y=9... Equation (1). It is also given that by reversing the order of digits of the number it increases by 27 so when it reverses Y is in ten's place and X is in unit place So the number becomes 10Y+X hence (10Y+X)-(10X+Y)=27=>9Y-9X=27=>Y-X =3... Equation (2). Add both equations then we get 2Y=12=>Y=6 => Substitute Y=6 in. equation (1) then X+6=9 =>X=3. Hence the number is 10(3)+6 =>36. Hope it helps you.