a:b:c=5:6:7 3a+4b−5c=16 faind volue of c=?


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Question Number 170065 by mathlove last updated on 15/May/22

$a : b : c = 5 : 6 : 7$ $3 a + 4 b - 5 c = 16$ $f a i n d v o l u e o f c = ?$
	Answered by Rasheed.Sindhi last updated on 15/May/22

	$a = 5 k, b = 6 k, c = 7 k$ $3 a + 4 b - 5 c = 16$ $\Rightarrow 3 (5 k) + 4 (6 k) - 5 (7 k) = 16$ $15 k + 24 k - 35 k = 16$ $4 k = 16 \Rightarrow k = 4$ $c = 7 k = 7 \times 4 = 28$
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