The difference of 2 numbers is 3. The sum is 13. What are the numbers?

Let the numbers be x and
y.

Given the difference between the numbers is
3.

==> x - y =
3...........(1)

Also, given the sum of the numbers is
13.

==> x + y =
13...............(2)

Now we have a system of two equations
and two variables.

Then, we will use the elimination or
substitution method to solve.

Let us use the elimination
method.

First, we will add (1) and
(2).

==> 2x = 16.

Now
we will divide by 2.

==> x =
8.

Now we will substitute in (2) to find
y.

==> x+ y =
13

==> 8 + y =
13

==> y=
13-8

==> y=
5.

Then, the numbers are 5 and
8.