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Problem
Problem
Let
a
a
a
and
b
b
b
be the roots of equation
x
2
−
10
c
x
−
11
d
=
0
x^2 - 10cx - 11d = 0
x
2
−
10
c
x
−
11
d
=
0
and those of
x
2
−
10
a
x
−
11
b
=
0
x^2 - 10ax - 11b = 0
x
2
−
10
a
x
−
11
b
=
0
are
c
c
c
and
d
d
d
, the value of
a
+
b
+
c
+
d
a + b + c + d
a
+
b
+
c
+
d
, when
a
≠
b
≠
c
≠
d
a \neq b \neq c \neq d
a
=
b
=
c
=
d
, is
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