Question

the sum of digits of a two digit number is 9 if the digits of the number are interchanged then the number obtained increased by 9 what is the number​

Answer 1

Answer:

Step-by-step explanation:

Let one digit be x and the other be y.

So the number is 10x+y.

1. x+y=9..... i.

After interchanging the digits the number is 10y+x.

2. 10y+x= 10x+y+9

So, 10y-y=10x-x+9

9y=9x+9

Therefore 9x-9y= -9.

Therefore x-y= 9...... ii

So, i-ii:

x+y=9

x-y= 9

2x=18

So, x=9.

Therefore y=9 - x

y=9 - 9

y= 0

Hence the numbers are 9 and 0.