Sum
If a : b = c : d, prove that: 5a + 7b : 5a – 7b = 5c + 7d : 5c – 7d.
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Solution
Given `a/b = c/d`
`=> (5a)/(7b) = (5c)/(7d)` (Multiplying each side by 5/7)
`=> (5a + 7b)/(5a - 7b) = (5c + 7d)/(5c - 7d)` (By componendo and dividendo)
Concept: Componendo and Dividendo Properties
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