Find the numbers such that their sum is 23 and the difference is 1

Let the numbers be x and y :

Given
that the sum of the numbers is 23

Then we will
wrtie:

x + y = 23............(1)

Also,
given the difference between the numbers is 1:

Then we will
write:

x - y =
1...................(2)

Now using the elimination method, we will
solve the system.

let us add (1) and
(2):

==> 2x = 24

Now divide bu
2:

==> x =
12

Now to find y , we will substitue in
(2):

 x - y = 1

12 - y =
1

==> y=
11

Then the answer is
:

The numbers are 11 and
12.

The sum : 11+ 12 =
23

The difference : 12-11 =
1