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Question
If a : b : : c : d, prove that `(2a +5b)/(2a - 5b) = (2c + 5d)/(2c - 5d)`
Solution
a : b : : c : d
then `a/b = c/d`
⇒ `(2a)/(5b) = (2c)/(5d) ...("multiply by" 2/5)`
Applying componendo and dividendo,
`(2a + 5b)/(2a - 5b) = (2c + 5d)/(2c - 5d)`.
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