Question

The sum of a two digit number obtained on reversing the digit is 99 if the number obtained or reversing the digit is 9 more than the original number find the number

Answer 1

Let the original number be x.
And let the number after reversing the digits is y.
It is given that y=x+9

x+y=99
x+x+9=99
x+x=99-9
x+x=90
2x=90
x=45
Thats why the original no is 45.
and reversed number is 54.

Answer 2

Answer:

Step-by-step explanation:

Here is the answer,

Let the original number be 'x'

Let the reversed number be 'y'

The sum of both the digits on reversing is 99,

Therefore,

x+y=99 ------(1)

Its given that, the reversed number (y) is 9 more than the original number (x),

Therefore,

y=9+x -----(2)

By solving these two equations by elimination method or any other method,

y=54

Therefore,

The reversed number is 54 and the original number is 45.

Hope it helps you!!