Answer:
The numbers are
5
and
8
Explanation:
We know:
m
−
n
=
3
And we know:
m
+
n
=
13
Next, solve the first equation for
m
:
m
−
n
+
n
=
3
+
n
m
−
0
=
3
+
n
m
=
3
+
n
Then, substitute
3
+
n
for
m
in the second equation and solve for
n
:
m
+
n
=
13
becomes:
(
3
+
n
)
+
n
=
13
3
+
2
n
=
13
−
3
+
3
+
2
n
=
−
3
+
13
0
+
2
n
=
10
2
n
=
10
2
n
2
=
10
2
2
n
2
=
5
n
=
5
Now, substitute
5
for
n
in the solution to the first equation and calculate
m
:
m
=
3
+
n
becomes:
m
=
3
+
5
m
=
8
The solution is:
n
=
5
and
m
=
8