c
T
3a + 46
If
3c + 4d
3a - 46
a
с
,
prove that
3c - 4d
b
d
CSE
Answers
Answered by
5
Answer:
Given, a/b = c/d
7b
6a
=
7d
6c
(Multipyng each by 6/7)
7b
6a+7b
=
7d
6c+7d
(By componendo)
=
..........(1)
Also a/b = c/d
4b
3a
=
4d
3c
(Multiplying each by 3/4)
4b
3a
=
4d
3c−4d
(By dividendo)
3c−4d
3a−4b
=
4d
4b
=
d
b
......(2)
From (1) and (2) we have
6c+7d
6a+7b
=
3c−4d
3a−4b
$$(6a + 7b)(3c – 4d) = (3a – 4b)(6c + 7d)$$
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