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Question
If a : b = c : d, prove that: 5a + 7b : 5a – 7b = 5c + 7d : 5c – 7d.
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)
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