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Byju's Answer
Standard X
Mathematics
Arithmetic Mean
If m, n are p...
Question
If m, n are positive integers find (m+n) if (m+n)/(m
2
+mn+n
2
) = 4/49
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Solution
Dear student,
m
+
n
(
m
2
+
m
n
+
n
2
)
=
4
49
P
u
t
t
i
n
g
t
h
e
v
a
l
u
e
s
o
f
m
a
n
d
n
a
s
:
m
=
10
a
n
d
n
=
6
.
W
e
g
e
t
:
m
+
n
(
m
2
+
m
n
+
n
2
)
=
10
+
6
10
2
+
(
10
*
6
)
+
6
2
=
16
196
=
4
49
∴
W
e
c
a
n
s
a
y
t
h
a
t
,
m
=
10
a
n
d
n
=
6
i
s
s
o
l
u
t
i
o
n
f
o
r
t
h
e
e
q
u
a
t
i
o
n
:
m
+
n
(
m
2
+
m
n
+
n
2
)
=
4
49
T
h
u
s
,
(
m
+
n
)
=
(
10
+
6
)
=
16
Regards
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