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Question
If `(8a - 5b)/(8c - 5d) = (8a + 5b)/(8c + 5d), "prove that" a/b = c/d.`
Solution
`(8a - 5b)/(8c - 5d) = (8a + 5b)/(8c + 5d)`
Applying alternendo
`(8a - 5b)/(8a + 5d) = (8c + 5d)/(8c + 5d)`
Applying componendo and Dividendo
`(8a - 5b + 8a + 5d)/(8a - 5b - 8a - 5d) = (8c - 5d + 8c + 5d)/(8c - 5d - 8c - 5d)`
`(16a)/(-10b) = (16c)/(-10d)`
`a/b = c/d`
Hence Proved.
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