Question

The sum of the digits of a two digit number is 9. 27 added to the number is same number obtained by interchanging the digits of the original number. Find the number.​

Answer 1

Step-by-step explanation:

Let x and y be the ten's place and unit place respectively,

The number =10x+y

When the digits are interchanged =10y+x

Now, x+y=9

x=9-y-----------------(1)

10x+y+ 27=10y+x

10x-x-10y+y=-27

9x-9y=-27

x-y=-3

9-y-y=-3

-2y=-3-9

-2y=-12

y=6

Putting the value of y in equation (1)

x=9-6

x=3

The reqd number =10×3+6 =30+6=36