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Byju's Answer
Standard XII
Mathematics
Local Maxima
What number m...
Question
What number must be subtracted from each of 14,17,34 and 42 so that the difference will be proportional?
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Solution
Let
x
must be subtracted
then
,
14
−
x
/
17
−
x
=
34
−
x
/
42
−
x
(
14
−
x
)
(
42
−
x
)
=
(
34
−
x
)
(
17
−
x
)
x
2
−
56
x
+
558
=
x
2
−
51
x
+
578
5
x
=
10
x
=
2
So
,
the number must be subtracted from each of
14
,
17
,
34
and
42
is
2.
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