Answer:
The numbers are 8 and 5
Step-by-step explanation:
The two numbers are
8
and
5
.
Step-by-step explanation:
Consider the two numbers as
x
and
y
. From the given data, we write:
x
−
y
=
3
x
+
y
=
13
From the first equation, we determine a value for
x
.
x
−
y
=
3
Add
y
to both sides.
x
=
y
+
3
In the second equation, substitute
x
with
(
y
+
3
)
.
x
+
y
=
13
(
y
+
3
)
+
y
=
13
Open the brackets and simplify.
y
+
3
+
y
=
13
2
y
+
3
=
13
Subtract
3
from each side.
2
y
=
10
Divide both sides by
2
.
y
=
5
In the first equation, substitute
y
with
5
.
x
−
y
=
3
x
−
5
=
3
Add
5
to each side.
x
=
8